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Finding the Fourth Proportional to 2,565.41, 3,540.29 and 1,517.46

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Solution

The fourth proportional to 2,565.41, 3,540.29 and 1,517.46 is: 2,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.41 : 3,540.29 = 1,517.46 : x
  2. Step 2: Convert to fraction form
    2,565.41/3,540.29 = 1,517.46/x
  3. Step 3: Cross multiply
    2,565.41x = 3,540.29 × 1,517.46
  4. Step 4: Simplify right side
    2,565.41x = 5,372,240.88
  5. Step 5: Solve for x
    x = 5,372,240.88/2,565.41
  6. Step 6: Final answer
    x = 2,094.11

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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.