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Finding the Fourth Proportional to 2,575.38, 3,863.37 and 932.70

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Solution

The fourth proportional to 2,575.38, 3,863.37 and 932.70 is: 1,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.38 : 3,863.37 = 932.70 : x
  2. Step 2: Convert to fraction form
    2,575.38/3,863.37 = 932.70/x
  3. Step 3: Cross multiply
    2,575.38x = 3,863.37 × 932.70
  4. Step 4: Simplify right side
    2,575.38x = 3,603,360.54
  5. Step 5: Solve for x
    x = 3,603,360.54/2,575.38
  6. Step 6: Final answer
    x = 1,399.16

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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.