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Finding the Fourth Proportional to 2,067, 3,101.40 and 768.24

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Solution

The fourth proportional to 2,067, 3,101.40 and 768.24 is: 1,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067 : 3,101.40 = 768.24 : x
  2. Step 2: Convert to fraction form
    2,067/3,101.40 = 768.24/x
  3. Step 3: Cross multiply
    2,067x = 3,101.40 × 768.24
  4. Step 4: Simplify right side
    2,067x = 2,382,619.54
  5. Step 5: Solve for x
    x = 2,382,619.54/2,067
  6. Step 6: Final answer
    x = 1,152.69

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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.