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Finding the Fourth Proportional to 2,234.78, 3,349.53 and 773.13

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Solution

The fourth proportional to 2,234.78, 3,349.53 and 773.13 is: 1,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.78 : 3,349.53 = 773.13 : x
  2. Step 2: Convert to fraction form
    2,234.78/3,349.53 = 773.13/x
  3. Step 3: Cross multiply
    2,234.78x = 3,349.53 × 773.13
  4. Step 4: Simplify right side
    2,234.78x = 2,589,622.13
  5. Step 5: Solve for x
    x = 2,589,622.13/2,234.78
  6. Step 6: Final answer
    x = 1,158.78

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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.