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Finding the Fourth Proportional to 3,107.82, 4,660.55 and 1,027.20

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Solution

The fourth proportional to 3,107.82, 4,660.55 and 1,027.20 is: 1,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.82 : 4,660.55 = 1,027.20 : x
  2. Step 2: Convert to fraction form
    3,107.82/4,660.55 = 1,027.20/x
  3. Step 3: Cross multiply
    3,107.82x = 4,660.55 × 1,027.20
  4. Step 4: Simplify right side
    3,107.82x = 4,787,316.96
  5. Step 5: Solve for x
    x = 4,787,316.96/3,107.82
  6. Step 6: Final answer
    x = 1,540.41

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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.