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Finding the Fourth Proportional to 2,475.28, 3,711.88 and 914.95

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Solution

The fourth proportional to 2,475.28, 3,711.88 and 914.95 is: 1,372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.28 : 3,711.88 = 914.95 : x
  2. Step 2: Convert to fraction form
    2,475.28/3,711.88 = 914.95/x
  3. Step 3: Cross multiply
    2,475.28x = 3,711.88 × 914.95
  4. Step 4: Simplify right side
    2,475.28x = 3,396,184.61
  5. Step 5: Solve for x
    x = 3,396,184.61/2,475.28
  6. Step 6: Final answer
    x = 1,372.04

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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.