First Officer reported a suspected fuel quantity indication error resulted after correcting a fuel imbalance during cruise. After requesting a more direct route; the crew landed safely at the destination airport.

Narrative

During cruise; we had just finished a cross feed (Low 2) to balance the tanks from a minor imbalance of around 200 pounds. About a minute later; we got a master caution accompanied by a fuel imbalance caution on the EICAS. We looked at the fuel quantities on the EICAS; and the right tank had dropped about 1;000 pounds below what it had just been indicating (~2;600 to ~1;600 pounds). The MFD showed the same quantities; and the totalizer showed the two added together. I ran the QRH checklist; however since we did not suspect a fuel leak (the level was not dropping faster than we were burning it after the initial 1;000 pound decrease) and believed it to be an indication error; we did not continue to cross feed as directed by the checklist. We believed this would create an actual imbalance out of what was likely a sensor or indication problem.We requested and were cleared direct to ZZZ since we were unable to ascertain how much fuel we actually had on board. During the descent; the right tank indication went to all amber dashes; as did the totalizer. That made us even more sure it was only a sensing problem; and we continued on to land via the ILS as planned without further incident. The indication came back during the approach with the correct amount we expected to have on board; but we still had the Airport Rescue and Firefighting (ARFF) that were already standing by perform a visual inspection to confirm no fuel leak once we taxied clear of the runway. They did not note any leak.