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Finding the Fourth Proportional to 2,067.31, 3,101.11 and 680.69

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Solution

The fourth proportional to 2,067.31, 3,101.11 and 680.69 is: 1,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.31 : 3,101.11 = 680.69 : x
  2. Step 2: Convert to fraction form
    2,067.31/3,101.11 = 680.69/x
  3. Step 3: Cross multiply
    2,067.31x = 3,101.11 × 680.69
  4. Step 4: Simplify right side
    2,067.31x = 2,110,877.36
  5. Step 5: Solve for x
    x = 2,110,877.36/2,067.31
  6. Step 6: Final answer
    x = 1,021.08

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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.