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Finding the Fourth Proportional to 3,067.62, 4,231.71 and 1,790.34

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Solution

The fourth proportional to 3,067.62, 4,231.71 and 1,790.34 is: 2,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.62 : 4,231.71 = 1,790.34 : x
  2. Step 2: Convert to fraction form
    3,067.62/4,231.71 = 1,790.34/x
  3. Step 3: Cross multiply
    3,067.62x = 4,231.71 × 1,790.34
  4. Step 4: Simplify right side
    3,067.62x = 7,576,199.68
  5. Step 5: Solve for x
    x = 7,576,199.68/3,067.62
  6. Step 6: Final answer
    x = 2,469.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.