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Finding the Fourth Proportional to 3,153.29, 4,729.92 and 844.79

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Solution

The fourth proportional to 3,153.29, 4,729.92 and 844.79 is: 1,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.29 : 4,729.92 = 844.79 : x
  2. Step 2: Convert to fraction form
    3,153.29/4,729.92 = 844.79/x
  3. Step 3: Cross multiply
    3,153.29x = 4,729.92 × 844.79
  4. Step 4: Simplify right side
    3,153.29x = 3,995,765.47
  5. Step 5: Solve for x
    x = 3,995,765.47/3,153.29
  6. Step 6: Final answer
    x = 1,267.18

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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.