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Finding the Fourth Proportional to 3,202.74, 4,796.82 and 2,229.57

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Solution

The fourth proportional to 3,202.74, 4,796.82 and 2,229.57 is: 3,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.74 : 4,796.82 = 2,229.57 : x
  2. Step 2: Convert to fraction form
    3,202.74/4,796.82 = 2,229.57/x
  3. Step 3: Cross multiply
    3,202.74x = 4,796.82 × 2,229.57
  4. Step 4: Simplify right side
    3,202.74x = 10,694,845.97
  5. Step 5: Solve for x
    x = 10,694,845.97/3,202.74
  6. Step 6: Final answer
    x = 3,339.28

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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.