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Finding the Fourth Proportional to 2,067.86, 3,096.33 and 1,091.00

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Solution

The fourth proportional to 2,067.86, 3,096.33 and 1,091.00 is: 1,633.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.86 : 3,096.33 = 1,091.00 : x
  2. Step 2: Convert to fraction form
    2,067.86/3,096.33 = 1,091.00/x
  3. Step 3: Cross multiply
    2,067.86x = 3,096.33 × 1,091.00
  4. Step 4: Simplify right side
    2,067.86x = 3,378,099.68
  5. Step 5: Solve for x
    x = 3,378,099.68/2,067.86
  6. Step 6: Final answer
    x = 1,633.62

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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.