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Finding the Fourth Proportional to 3,179.70, 4,758.46 and 2,427.92

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Solution

The fourth proportional to 3,179.70, 4,758.46 and 2,427.92 is: 3,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.70 : 4,758.46 = 2,427.92 : x
  2. Step 2: Convert to fraction form
    3,179.70/4,758.46 = 2,427.92/x
  3. Step 3: Cross multiply
    3,179.70x = 4,758.46 × 2,427.92
  4. Step 4: Simplify right side
    3,179.70x = 11,553,160.20
  5. Step 5: Solve for x
    x = 11,553,160.20/3,179.70
  6. Step 6: Final answer
    x = 3,633.41

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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.