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Finding the Fourth Proportional to 2,614.92, 3,600.69 and 2,260.20

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Solution

The fourth proportional to 2,614.92, 3,600.69 and 2,260.20 is: 3,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.92 : 3,600.69 = 2,260.20 : x
  2. Step 2: Convert to fraction form
    2,614.92/3,600.69 = 2,260.20/x
  3. Step 3: Cross multiply
    2,614.92x = 3,600.69 × 2,260.20
  4. Step 4: Simplify right side
    2,614.92x = 8,138,284.56
  5. Step 5: Solve for x
    x = 8,138,284.56/2,614.92
  6. Step 6: Final answer
    x = 3,112.25

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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.