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Finding the Fourth Proportional to 2,761.97, 4,142.79 and 681.98

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Solution

The fourth proportional to 2,761.97, 4,142.79 and 681.98 is: 1,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.97 : 4,142.79 = 681.98 : x
  2. Step 2: Convert to fraction form
    2,761.97/4,142.79 = 681.98/x
  3. Step 3: Cross multiply
    2,761.97x = 4,142.79 × 681.98
  4. Step 4: Simplify right side
    2,761.97x = 2,825,279.21
  5. Step 5: Solve for x
    x = 2,825,279.21/2,761.97
  6. Step 6: Final answer
    x = 1,022.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.