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Finding the Fourth Proportional to 3,257.54, 4,887.69 and 1,614.12

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Solution

The fourth proportional to 3,257.54, 4,887.69 and 1,614.12 is: 2,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.54 : 4,887.69 = 1,614.12 : x
  2. Step 2: Convert to fraction form
    3,257.54/4,887.69 = 1,614.12/x
  3. Step 3: Cross multiply
    3,257.54x = 4,887.69 × 1,614.12
  4. Step 4: Simplify right side
    3,257.54x = 7,889,318.18
  5. Step 5: Solve for x
    x = 7,889,318.18/3,257.54
  6. Step 6: Final answer
    x = 2,421.86

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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.