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Finding the Fourth Proportional to 3,230.96, 4,460.49 and 1,972.31

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Solution

The fourth proportional to 3,230.96, 4,460.49 and 1,972.31 is: 2,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.96 : 4,460.49 = 1,972.31 : x
  2. Step 2: Convert to fraction form
    3,230.96/4,460.49 = 1,972.31/x
  3. Step 3: Cross multiply
    3,230.96x = 4,460.49 × 1,972.31
  4. Step 4: Simplify right side
    3,230.96x = 8,797,446.73
  5. Step 5: Solve for x
    x = 8,797,446.73/3,230.96
  6. Step 6: Final answer
    x = 2,722.86

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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.