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Finding the Fourth Proportional to 2,171.38, 3,257.03 and 527.92

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Solution

The fourth proportional to 2,171.38, 3,257.03 and 527.92 is: 791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.38 : 3,257.03 = 527.92 : x
  2. Step 2: Convert to fraction form
    2,171.38/3,257.03 = 527.92/x
  3. Step 3: Cross multiply
    2,171.38x = 3,257.03 × 527.92
  4. Step 4: Simplify right side
    2,171.38x = 1,719,434.99
  5. Step 5: Solve for x
    x = 1,719,434.99/2,171.38
  6. Step 6: Final answer
    x = 791.86

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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.