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Finding the Fourth Proportional to 3,202.44, 4,800.78 and 1,149.96

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Solution

The fourth proportional to 3,202.44, 4,800.78 and 1,149.96 is: 1,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.44 : 4,800.78 = 1,149.96 : x
  2. Step 2: Convert to fraction form
    3,202.44/4,800.78 = 1,149.96/x
  3. Step 3: Cross multiply
    3,202.44x = 4,800.78 × 1,149.96
  4. Step 4: Simplify right side
    3,202.44x = 5,520,704.97
  5. Step 5: Solve for x
    x = 5,520,704.97/3,202.44
  6. Step 6: Final answer
    x = 1,723.91

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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.