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Finding the Fourth Proportional to 2,067.13, 3,101.28 and 680.59

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Solution

The fourth proportional to 2,067.13, 3,101.28 and 680.59 is: 1,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.13 : 3,101.28 = 680.59 : x
  2. Step 2: Convert to fraction form
    2,067.13/3,101.28 = 680.59/x
  3. Step 3: Cross multiply
    2,067.13x = 3,101.28 × 680.59
  4. Step 4: Simplify right side
    2,067.13x = 2,110,700.16
  5. Step 5: Solve for x
    x = 2,110,700.16/2,067.13
  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.