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Finding the Fourth Proportional to 2,162.44, 3,244.42 and 1,067.58

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Solution

The fourth proportional to 2,162.44, 3,244.42 and 1,067.58 is: 1,601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.44 : 3,244.42 = 1,067.58 : x
  2. Step 2: Convert to fraction form
    2,162.44/3,244.42 = 1,067.58/x
  3. Step 3: Cross multiply
    2,162.44x = 3,244.42 × 1,067.58
  4. Step 4: Simplify right side
    2,162.44x = 3,463,677.90
  5. Step 5: Solve for x
    x = 3,463,677.90/2,162.44
  6. Step 6: Final answer
    x = 1,601.75

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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.