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Finding the Fourth Proportional to 2,552.87, 3,825.65 and 1,454.97

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Solution

The fourth proportional to 2,552.87, 3,825.65 and 1,454.97 is: 2,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.87 : 3,825.65 = 1,454.97 : x
  2. Step 2: Convert to fraction form
    2,552.87/3,825.65 = 1,454.97/x
  3. Step 3: Cross multiply
    2,552.87x = 3,825.65 × 1,454.97
  4. Step 4: Simplify right side
    2,552.87x = 5,566,209.62
  5. Step 5: Solve for x
    x = 5,566,209.62/2,552.87
  6. Step 6: Final answer
    x = 2,180.37

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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.