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Finding the Fourth Proportional to 1,635.27, 2,454.02 and 814.12

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Solution

The fourth proportional to 1,635.27, 2,454.02 and 814.12 is: 1,221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.27 : 2,454.02 = 814.12 : x
  2. Step 2: Convert to fraction form
    1,635.27/2,454.02 = 814.12/x
  3. Step 3: Cross multiply
    1,635.27x = 2,454.02 × 814.12
  4. Step 4: Simplify right side
    1,635.27x = 1,997,862.69
  5. Step 5: Solve for x
    x = 1,997,862.69/1,635.27
  6. Step 6: Final answer
    x = 1,221.73

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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.