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Finding the Fourth Proportional to 3,229.79, 4,456.42 and 2,112.37

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Solution

The fourth proportional to 3,229.79, 4,456.42 and 2,112.37 is: 2,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.79 : 4,456.42 = 2,112.37 : x
  2. Step 2: Convert to fraction form
    3,229.79/4,456.42 = 2,112.37/x
  3. Step 3: Cross multiply
    3,229.79x = 4,456.42 × 2,112.37
  4. Step 4: Simplify right side
    3,229.79x = 9,413,607.92
  5. Step 5: Solve for x
    x = 9,413,607.92/3,229.79
  6. Step 6: Final answer
    x = 2,914.62

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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.