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Finding the Fourth Proportional to 2,626.72, 3,624.85 and 1,447.78

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Solution

The fourth proportional to 2,626.72, 3,624.85 and 1,447.78 is: 1,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.72 : 3,624.85 = 1,447.78 : x
  2. Step 2: Convert to fraction form
    2,626.72/3,624.85 = 1,447.78/x
  3. Step 3: Cross multiply
    2,626.72x = 3,624.85 × 1,447.78
  4. Step 4: Simplify right side
    2,626.72x = 5,247,959.97
  5. Step 5: Solve for x
    x = 5,247,959.97/2,626.72
  6. Step 6: Final answer
    x = 1,997.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.