Finding the Fourth Proportional to 2,074.50, 2,862.81 and 1,143
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Solution
The fourth proportional to 2,074.50, 2,862.81 and 1,143 is: 1,577.34
Step by Step Solution
- Step 1: Write the proportion equation
2,074.50 : 2,862.81 = 1,143 : x - Step 2: Convert to fraction form
2,074.50/2,862.81 = 1,143/x - Step 3: Cross multiply
2,074.50x = 2,862.81 × 1,143 - Step 4: Simplify right side
2,074.50x = 3,272,191.83 - Step 5: Solve for x
x = 3,272,191.83/2,074.50 - Step 6: Final answer
x = 1,577.34
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.