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Finding the Fourth Proportional to 2,049.72, 3,073.96 and 751.29

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Solution

The fourth proportional to 2,049.72, 3,073.96 and 751.29 is: 1,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.72 : 3,073.96 = 751.29 : x
  2. Step 2: Convert to fraction form
    2,049.72/3,073.96 = 751.29/x
  3. Step 3: Cross multiply
    2,049.72x = 3,073.96 × 751.29
  4. Step 4: Simplify right side
    2,049.72x = 2,309,435.41
  5. Step 5: Solve for x
    x = 2,309,435.41/2,049.72
  6. Step 6: Final answer
    x = 1,126.71

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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.