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Finding the Fourth Proportional to 1,951.44, 2,692.95 and 1,067.23

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Solution

The fourth proportional to 1,951.44, 2,692.95 and 1,067.23 is: 1,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.44 : 2,692.95 = 1,067.23 : x
  2. Step 2: Convert to fraction form
    1,951.44/2,692.95 = 1,067.23/x
  3. Step 3: Cross multiply
    1,951.44x = 2,692.95 × 1,067.23
  4. Step 4: Simplify right side
    1,951.44x = 2,873,997.03
  5. Step 5: Solve for x
    x = 2,873,997.03/1,951.44
  6. Step 6: Final answer
    x = 1,472.76

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Why These Related Problems?

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