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Finding the Fourth Proportional to 3,153.20, 4,729.72 and 844.88

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Solution

The fourth proportional to 3,153.20, 4,729.72 and 844.88 is: 1,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.20 : 4,729.72 = 844.88 : x
  2. Step 2: Convert to fraction form
    3,153.20/4,729.72 = 844.88/x
  3. Step 3: Cross multiply
    3,153.20x = 4,729.72 × 844.88
  4. Step 4: Simplify right side
    3,153.20x = 3,996,045.83
  5. Step 5: Solve for x
    x = 3,996,045.83/3,153.20
  6. Step 6: Final answer
    x = 1,267.30

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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.