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Finding the Fourth Proportional to 3,230.34, 4,456.71 and 1,832.28

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Solution

The fourth proportional to 3,230.34, 4,456.71 and 1,832.28 is: 2,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.34 : 4,456.71 = 1,832.28 : x
  2. Step 2: Convert to fraction form
    3,230.34/4,456.71 = 1,832.28/x
  3. Step 3: Cross multiply
    3,230.34x = 4,456.71 × 1,832.28
  4. Step 4: Simplify right side
    3,230.34x = 8,165,944.87
  5. Step 5: Solve for x
    x = 8,165,944.87/3,230.34
  6. Step 6: Final answer
    x = 2,527.89

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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.