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Finding the Fourth Proportional to 3,200.92, 4,418.01 and 2,023.60

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Solution

The fourth proportional to 3,200.92, 4,418.01 and 2,023.60 is: 2,793.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.92 : 4,418.01 = 2,023.60 : x
  2. Step 2: Convert to fraction form
    3,200.92/4,418.01 = 2,023.60/x
  3. Step 3: Cross multiply
    3,200.92x = 4,418.01 × 2,023.60
  4. Step 4: Simplify right side
    3,200.92x = 8,940,285.04
  5. Step 5: Solve for x
    x = 8,940,285.04/3,200.92
  6. Step 6: Final answer
    x = 2,793.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.