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Finding the Fourth Proportional to 3,234.68, 4,849 and 1,153.24

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Solution

The fourth proportional to 3,234.68, 4,849 and 1,153.24 is: 1,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.68 : 4,849 = 1,153.24 : x
  2. Step 2: Convert to fraction form
    3,234.68/4,849 = 1,153.24/x
  3. Step 3: Cross multiply
    3,234.68x = 4,849 × 1,153.24
  4. Step 4: Simplify right side
    3,234.68x = 5,592,060.76
  5. Step 5: Solve for x
    x = 5,592,060.76/3,234.68
  6. Step 6: Final answer
    x = 1,728.78

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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.