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Finding the Fourth Proportional to 2,234.39, 3,350.82 and 753.30

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Solution

The fourth proportional to 2,234.39, 3,350.82 and 753.30 is: 1,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.39 : 3,350.82 = 753.30 : x
  2. Step 2: Convert to fraction form
    2,234.39/3,350.82 = 753.30/x
  3. Step 3: Cross multiply
    2,234.39x = 3,350.82 × 753.30
  4. Step 4: Simplify right side
    2,234.39x = 2,524,171.29
  5. Step 5: Solve for x
    x = 2,524,171.29/2,234.39
  6. Step 6: Final answer
    x = 1,129.69

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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.