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Finding the Fourth Proportional to 2,728.72, 4,085.76 and 2,264.92

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Solution

The fourth proportional to 2,728.72, 4,085.76 and 2,264.92 is: 3,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.72 : 4,085.76 = 2,264.92 : x
  2. Step 2: Convert to fraction form
    2,728.72/4,085.76 = 2,264.92/x
  3. Step 3: Cross multiply
    2,728.72x = 4,085.76 × 2,264.92
  4. Step 4: Simplify right side
    2,728.72x = 9,253,919.54
  5. Step 5: Solve for x
    x = 9,253,919.54/2,728.72
  6. Step 6: Final answer
    x = 3,391.30

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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.