You read online that a 15‘ x 20‘. brick patio would cost about $2275 to have professionally installed. Estimate the cost of having a 19 x 26‘ brick patio installed.

1. Calculate the area of the smaller patio: 15 \times 20 = 300 \text{ ft}^2

2. Calculate the area of the larger patio: 19 \times 26 = 494 \text{ ft}^2

3. Set up a proportion comparing the two patios:

\frac{300 \text{ ft}^2}{2275} = \frac{494 \text{ ft}^2}{x}

4. Solve for \( x \):

x = \frac{494 \times 2275}{300}

5. Compute \( x \):

x\approx3746.17

6. Therefore, the estimated cost for the 19' x 26' patio is:

3746.17