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Finding the Fourth Proportional to 1,472.26, 2,031.80 and 809.20

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Solution

The fourth proportional to 1,472.26, 2,031.80 and 809.20 is: 1,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.26 : 2,031.80 = 809.20 : x
  2. Step 2: Convert to fraction form
    1,472.26/2,031.80 = 809.20/x
  3. Step 3: Cross multiply
    1,472.26x = 2,031.80 × 809.20
  4. Step 4: Simplify right side
    1,472.26x = 1,644,132.56
  5. Step 5: Solve for x
    x = 1,644,132.56/1,472.26
  6. Step 6: Final answer
    x = 1,116.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.