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Finding the Fourth Proportional to 3,016.12, 4,518 and 1,842.43

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Solution

The fourth proportional to 3,016.12, 4,518 and 1,842.43 is: 2,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.12 : 4,518 = 1,842.43 : x
  2. Step 2: Convert to fraction form
    3,016.12/4,518 = 1,842.43/x
  3. Step 3: Cross multiply
    3,016.12x = 4,518 × 1,842.43
  4. Step 4: Simplify right side
    3,016.12x = 8,324,098.74
  5. Step 5: Solve for x
    x = 8,324,098.74/3,016.12
  6. Step 6: Final answer
    x = 2,759.87

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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.