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Finding the Fourth Proportional to 3,153.26, 4,729.98 and 844.76

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Solution

The fourth proportional to 3,153.26, 4,729.98 and 844.76 is: 1,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.26 : 4,729.98 = 844.76 : x
  2. Step 2: Convert to fraction form
    3,153.26/4,729.98 = 844.76/x
  3. Step 3: Cross multiply
    3,153.26x = 4,729.98 × 844.76
  4. Step 4: Simplify right side
    3,153.26x = 3,995,697.90
  5. Step 5: Solve for x
    x = 3,995,697.90/3,153.26
  6. Step 6: Final answer
    x = 1,267.16

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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.