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Finding the Fourth Proportional to 2,067.76, 3,101.82 and 681.04

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Solution

The fourth proportional to 2,067.76, 3,101.82 and 681.04 is: 1,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.76 : 3,101.82 = 681.04 : x
  2. Step 2: Convert to fraction form
    2,067.76/3,101.82 = 681.04/x
  3. Step 3: Cross multiply
    2,067.76x = 3,101.82 × 681.04
  4. Step 4: Simplify right side
    2,067.76x = 2,112,463.49
  5. Step 5: Solve for x
    x = 2,112,463.49/2,067.76
  6. Step 6: Final answer
    x = 1,021.62

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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.