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Finding the Fourth Proportional to 2,565.62, 3,540.76 and 1,517.90

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Solution

The fourth proportional to 2,565.62, 3,540.76 and 1,517.90 is: 2,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.62 : 3,540.76 = 1,517.90 : x
  2. Step 2: Convert to fraction form
    2,565.62/3,540.76 = 1,517.90/x
  3. Step 3: Cross multiply
    2,565.62x = 3,540.76 × 1,517.90
  4. Step 4: Simplify right side
    2,565.62x = 5,374,519.60
  5. Step 5: Solve for x
    x = 5,374,519.60/2,565.62
  6. Step 6: Final answer
    x = 2,094.82

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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.