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Finding the Fourth Proportional to 2,067.14, 3,098.07 and 969.08

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Solution

The fourth proportional to 2,067.14, 3,098.07 and 969.08 is: 1,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.14 : 3,098.07 = 969.08 : x
  2. Step 2: Convert to fraction form
    2,067.14/3,098.07 = 969.08/x
  3. Step 3: Cross multiply
    2,067.14x = 3,098.07 × 969.08
  4. Step 4: Simplify right side
    2,067.14x = 3,002,285.42
  5. Step 5: Solve for x
    x = 3,002,285.42/2,067.14
  6. Step 6: Final answer
    x = 1,452.39

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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.