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Finding the Fourth Proportional to 3,231.92, 4,461.54 and 2,112.90

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Solution

The fourth proportional to 3,231.92, 4,461.54 and 2,112.90 is: 2,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.92 : 4,461.54 = 2,112.90 : x
  2. Step 2: Convert to fraction form
    3,231.92/4,461.54 = 2,112.90/x
  3. Step 3: Cross multiply
    3,231.92x = 4,461.54 × 2,112.90
  4. Step 4: Simplify right side
    3,231.92x = 9,426,787.87
  5. Step 5: Solve for x
    x = 9,426,787.87/3,231.92
  6. Step 6: Final answer
    x = 2,916.78

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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.