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Finding the Fourth Proportional to 3,257.52, 4,882.15 and 1,406.49

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Solution

The fourth proportional to 3,257.52, 4,882.15 and 1,406.49 is: 2,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.52 : 4,882.15 = 1,406.49 : x
  2. Step 2: Convert to fraction form
    3,257.52/4,882.15 = 1,406.49/x
  3. Step 3: Cross multiply
    3,257.52x = 4,882.15 × 1,406.49
  4. Step 4: Simplify right side
    3,257.52x = 6,866,695.15
  5. Step 5: Solve for x
    x = 6,866,695.15/3,257.52
  6. Step 6: Final answer
    x = 2,107.95

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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.