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Finding the Fourth Proportional to 2,687.28, 4,029.54 and 932.10

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Solution

The fourth proportional to 2,687.28, 4,029.54 and 932.10 is: 1,397.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.28 : 4,029.54 = 932.10 : x
  2. Step 2: Convert to fraction form
    2,687.28/4,029.54 = 932.10/x
  3. Step 3: Cross multiply
    2,687.28x = 4,029.54 × 932.10
  4. Step 4: Simplify right side
    2,687.28x = 3,755,934.23
  5. Step 5: Solve for x
    x = 3,755,934.23/2,687.28
  6. Step 6: Final answer
    x = 1,397.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.