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Finding the Fourth Proportional to 3,104.75, 4,282.39 and 2,042.18

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Solution

The fourth proportional to 3,104.75, 4,282.39 and 2,042.18 is: 2,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.75 : 4,282.39 = 2,042.18 : x
  2. Step 2: Convert to fraction form
    3,104.75/4,282.39 = 2,042.18/x
  3. Step 3: Cross multiply
    3,104.75x = 4,282.39 × 2,042.18
  4. Step 4: Simplify right side
    3,104.75x = 8,745,401.00
  5. Step 5: Solve for x
    x = 8,745,401.00/3,104.75
  6. Step 6: Final answer
    x = 2,816.78

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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.