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Finding the Fourth Proportional to 3,199.92, 4,801.38 and 1,351.56

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Solution

The fourth proportional to 3,199.92, 4,801.38 and 1,351.56 is: 2,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.92 : 4,801.38 = 1,351.56 : x
  2. Step 2: Convert to fraction form
    3,199.92/4,801.38 = 1,351.56/x
  3. Step 3: Cross multiply
    3,199.92x = 4,801.38 × 1,351.56
  4. Step 4: Simplify right side
    3,199.92x = 6,489,353.15
  5. Step 5: Solve for x
    x = 6,489,353.15/3,199.92
  6. Step 6: Final answer
    x = 2,027.97

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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.