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Finding the Fourth Proportional to 3,067.48, 4,601.19 and 1,609.48

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Solution

The fourth proportional to 3,067.48, 4,601.19 and 1,609.48 is: 2,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.48 : 4,601.19 = 1,609.48 : x
  2. Step 2: Convert to fraction form
    3,067.48/4,601.19 = 1,609.48/x
  3. Step 3: Cross multiply
    3,067.48x = 4,601.19 × 1,609.48
  4. Step 4: Simplify right side
    3,067.48x = 7,405,523.28
  5. Step 5: Solve for x
    x = 7,405,523.28/3,067.48
  6. Step 6: Final answer
    x = 2,414.20

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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.