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Finding the Fourth Proportional to 2,067.09, 3,101.55 and 836.91

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Solution

The fourth proportional to 2,067.09, 3,101.55 and 836.91 is: 1,255.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.09 : 3,101.55 = 836.91 : x
  2. Step 2: Convert to fraction form
    2,067.09/3,101.55 = 836.91/x
  3. Step 3: Cross multiply
    2,067.09x = 3,101.55 × 836.91
  4. Step 4: Simplify right side
    2,067.09x = 2,595,718.21
  5. Step 5: Solve for x
    x = 2,595,718.21/2,067.09
  6. Step 6: Final answer
    x = 1,255.74

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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.