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Finding the Fourth Proportional to 2,575.28, 3,863.96 and 931.95

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Solution

The fourth proportional to 2,575.28, 3,863.96 and 931.95 is: 1,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.28 : 3,863.96 = 931.95 : x
  2. Step 2: Convert to fraction form
    2,575.28/3,863.96 = 931.95/x
  3. Step 3: Cross multiply
    2,575.28x = 3,863.96 × 931.95
  4. Step 4: Simplify right side
    2,575.28x = 3,601,012.86
  5. Step 5: Solve for x
    x = 3,601,012.86/2,575.28
  6. Step 6: Final answer
    x = 1,398.30

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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.