Sachs Brands's defined benefit pension plan specifies annual retirement benefits equal to $1\mathrm{.}4\%$ x service years x final year's salary, payable at the end of each year. Angela Davenport was hired by Sachs at the beginning of $2010$ and is expected to retire at the end of $2044$ after $35$ years' service. Her retirement is expected to span $18$ years. Davenport's salary is $$92,000$ at the end of $2024$ and the company's actuary projects her salary to be $$290,000$ at retirement. The actuary's discount rate is $6\%.$

  

Required:

$1.$Estimate by the projected benefits approach the amount of Davenport's annual retirement payments earned as of the end of $2024.$

$2.$What is the company's projected benefit obligation at the end of $2024$ with respect to Davenport?

Note: Do not round intermediate calculations. Round your final answer to the nearest whole dollar.

$3.$If no estimates are changed in the meantime, what will be the company's projected benefit obligation at the end of $2027($three years later$)$ with respect to Davenport?