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Finding the Fourth Proportional to 2,304.64, 3,454.89 and 2,234.96

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Solution

The fourth proportional to 2,304.64, 3,454.89 and 2,234.96 is: 3,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.64 : 3,454.89 = 2,234.96 : x
  2. Step 2: Convert to fraction form
    2,304.64/3,454.89 = 2,234.96/x
  3. Step 3: Cross multiply
    2,304.64x = 3,454.89 × 2,234.96
  4. Step 4: Simplify right side
    2,304.64x = 7,721,540.95
  5. Step 5: Solve for x
    x = 7,721,540.95/2,304.64
  6. Step 6: Final answer
    x = 3,350.43

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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.