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Finding the Fourth Proportional to 2,414.69, 3,620.55 and 1,027.23

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Solution

The fourth proportional to 2,414.69, 3,620.55 and 1,027.23 is: 1,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.69 : 3,620.55 = 1,027.23 : x
  2. Step 2: Convert to fraction form
    2,414.69/3,620.55 = 1,027.23/x
  3. Step 3: Cross multiply
    2,414.69x = 3,620.55 × 1,027.23
  4. Step 4: Simplify right side
    2,414.69x = 3,719,142.44
  5. Step 5: Solve for x
    x = 3,719,142.44/2,414.69
  6. Step 6: Final answer
    x = 1,540.22

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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.