A company is attempting to immunize a schedule of liability cash flows via cash flow matching. The cash flows are as follows:

Year Liability $(000$s$)$

$1175$

$2227$

$3341$

Starting from the end and working forward, the company decides to match the year $3$ cash flow by investing in a $3$ year $6\mathrm{.}41\%$ annual coupon bond, currently priced at $102\mathrm{.}71$ per $$100$ of par value.

What is the amount of face value of this bond that the company must buy to match the year $3$ liability?