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Finding the Fourth Proportional to 2,728.71, 4,093.52 and 2,453.22

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Solution

The fourth proportional to 2,728.71, 4,093.52 and 2,453.22 is: 3,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.71 : 4,093.52 = 2,453.22 : x
  2. Step 2: Convert to fraction form
    2,728.71/4,093.52 = 2,453.22/x
  3. Step 3: Cross multiply
    2,728.71x = 4,093.52 × 2,453.22
  4. Step 4: Simplify right side
    2,728.71x = 10,042,292.87
  5. Step 5: Solve for x
    x = 10,042,292.87/2,728.71
  6. Step 6: Final answer
    x = 3,680.23

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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.