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Finding the Fourth Proportional to 2,067.72, 3,102.18 and 1,093.69

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Solution

The fourth proportional to 2,067.72, 3,102.18 and 1,093.69 is: 1,640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.72 : 3,102.18 = 1,093.69 : x
  2. Step 2: Convert to fraction form
    2,067.72/3,102.18 = 1,093.69/x
  3. Step 3: Cross multiply
    2,067.72x = 3,102.18 × 1,093.69
  4. Step 4: Simplify right side
    2,067.72x = 3,392,823.24
  5. Step 5: Solve for x
    x = 3,392,823.24/2,067.72
  6. Step 6: Final answer
    x = 1,640.85

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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.