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Finding the Fourth Proportional to 2,552.78, 3,825.51 and 1,454.88

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Solution

The fourth proportional to 2,552.78, 3,825.51 and 1,454.88 is: 2,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.78 : 3,825.51 = 1,454.88 : x
  2. Step 2: Convert to fraction form
    2,552.78/3,825.51 = 1,454.88/x
  3. Step 3: Cross multiply
    2,552.78x = 3,825.51 × 1,454.88
  4. Step 4: Simplify right side
    2,552.78x = 5,565,657.99
  5. Step 5: Solve for x
    x = 5,565,657.99/2,552.78
  6. Step 6: Final answer
    x = 2,180.23

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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.