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Finding the Fourth Proportional to 3,177.70, 4,755.46 and 2,425.92

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Solution

The fourth proportional to 3,177.70, 4,755.46 and 2,425.92 is: 3,630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.70 : 4,755.46 = 2,425.92 : x
  2. Step 2: Convert to fraction form
    3,177.70/4,755.46 = 2,425.92/x
  3. Step 3: Cross multiply
    3,177.70x = 4,755.46 × 2,425.92
  4. Step 4: Simplify right side
    3,177.70x = 11,536,365.52
  5. Step 5: Solve for x
    x = 11,536,365.52/3,177.70
  6. Step 6: Final answer
    x = 3,630.41

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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.