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Finding the Fourth Proportional to 3,204.87, 4,801.06 and 2,105.92

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Solution

The fourth proportional to 3,204.87, 4,801.06 and 2,105.92 is: 3,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.87 : 4,801.06 = 2,105.92 : x
  2. Step 2: Convert to fraction form
    3,204.87/4,801.06 = 2,105.92/x
  3. Step 3: Cross multiply
    3,204.87x = 4,801.06 × 2,105.92
  4. Step 4: Simplify right side
    3,204.87x = 10,110,648.28
  5. Step 5: Solve for x
    x = 10,110,648.28/3,204.87
  6. Step 6: Final answer
    x = 3,154.78

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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.