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Finding the Fourth Proportional to 3,042.62, 4,198.11 and 2,049.74

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Solution

The fourth proportional to 3,042.62, 4,198.11 and 2,049.74 is: 2,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.62 : 4,198.11 = 2,049.74 : x
  2. Step 2: Convert to fraction form
    3,042.62/4,198.11 = 2,049.74/x
  3. Step 3: Cross multiply
    3,042.62x = 4,198.11 × 2,049.74
  4. Step 4: Simplify right side
    3,042.62x = 8,605,033.99
  5. Step 5: Solve for x
    x = 8,605,033.99/3,042.62
  6. Step 6: Final answer
    x = 2,828.17

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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.