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Finding the Fourth Proportional to 2,762.20, 4,144.29 and 2,456.29

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Solution

The fourth proportional to 2,762.20, 4,144.29 and 2,456.29 is: 3,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.20 : 4,144.29 = 2,456.29 : x
  2. Step 2: Convert to fraction form
    2,762.20/4,144.29 = 2,456.29/x
  3. Step 3: Cross multiply
    2,762.20x = 4,144.29 × 2,456.29
  4. Step 4: Simplify right side
    2,762.20x = 10,179,578.08
  5. Step 5: Solve for x
    x = 10,179,578.08/2,762.20
  6. Step 6: Final answer
    x = 3,685.32

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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.