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Finding the Fourth Proportional to 2,067.70, 3,100.89 and 680.72

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Solution

The fourth proportional to 2,067.70, 3,100.89 and 680.72 is: 1,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.70 : 3,100.89 = 680.72 : x
  2. Step 2: Convert to fraction form
    2,067.70/3,100.89 = 680.72/x
  3. Step 3: Cross multiply
    2,067.70x = 3,100.89 × 680.72
  4. Step 4: Simplify right side
    2,067.70x = 2,110,837.84
  5. Step 5: Solve for x
    x = 2,110,837.84/2,067.70
  6. Step 6: Final answer
    x = 1,020.86

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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.