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Finding the Fourth Proportional to 1,951.42, 2,692.94 and 1,067.24

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Solution

The fourth proportional to 1,951.42, 2,692.94 and 1,067.24 is: 1,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.42 : 2,692.94 = 1,067.24 : x
  2. Step 2: Convert to fraction form
    1,951.42/2,692.94 = 1,067.24/x
  3. Step 3: Cross multiply
    1,951.42x = 2,692.94 × 1,067.24
  4. Step 4: Simplify right side
    1,951.42x = 2,874,013.29
  5. Step 5: Solve for x
    x = 2,874,013.29/1,951.42
  6. Step 6: Final answer
    x = 1,472.78

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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.