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Finding the Fourth Proportional to 3,202.92, 4,800.48 and 2,032.92

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Solution

The fourth proportional to 3,202.92, 4,800.48 and 2,032.92 is: 3,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.92 : 4,800.48 = 2,032.92 : x
  2. Step 2: Convert to fraction form
    3,202.92/4,800.48 = 2,032.92/x
  3. Step 3: Cross multiply
    3,202.92x = 4,800.48 × 2,032.92
  4. Step 4: Simplify right side
    3,202.92x = 9,758,991.80
  5. Step 5: Solve for x
    x = 9,758,991.80/3,202.92
  6. Step 6: Final answer
    x = 3,046.90

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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.