A low-latency centralized RTK system utilizes an RTK server to perform matched updates using base station GNSS measurements from one or more base stations and GNSS measurements from one or more rovers, and the one or more rovers produce RTK solutions based on the results of the matched updates. The RTK server includes one or more processors that perform the matched updates and a transmitter that transmits at least the ambiguities to the rovers. The respective rovers, which have processing power that is sufficient to quickly calculate RTK baselines, utilize the received ambiguities, the base station GNSS measurements received from either the RTK server or the base stations, known base station positions and instantaneous GNSS measurements at the rovers to readily determine and update their RTK baselines and their precise positions.