A payment of $$2,250$ is due in $2$ years and $$3,800$ is due in $4$ years. These two original payments are to be rescheduled with a payment of $$2,000$ in $1$ year and the balance in $3$ years. Calculate the payment required in $3$ years for the rescheduled option.

Assume that money earns $5\mathrm{.}25\%$ compounded monthly.