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Finding the Fourth Proportional to 2,067.60, 3,101.92 and 769.44

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Solution

The fourth proportional to 2,067.60, 3,101.92 and 769.44 is: 1,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067.60 : 3,101.92 = 769.44 : x
  2. Step 2: Convert to fraction form
    2,067.60/3,101.92 = 769.44/x
  3. Step 3: Cross multiply
    2,067.60x = 3,101.92 × 769.44
  4. Step 4: Simplify right side
    2,067.60x = 2,386,741.32
  5. Step 5: Solve for x
    x = 2,386,741.32/2,067.60
  6. Step 6: Final answer
    x = 1,154.35

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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.