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Finding the Fourth Proportional to 2,108, 3,162.84 and 1,067.44

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Solution

The fourth proportional to 2,108, 3,162.84 and 1,067.44 is: 1,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108 : 3,162.84 = 1,067.44 : x
  2. Step 2: Convert to fraction form
    2,108/3,162.84 = 1,067.44/x
  3. Step 3: Cross multiply
    2,108x = 3,162.84 × 1,067.44
  4. Step 4: Simplify right side
    2,108x = 3,376,141.93
  5. Step 5: Solve for x
    x = 3,376,141.93/2,108
  6. Step 6: Final answer
    x = 1,601.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.