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Finding the Fourth Proportional to 1,951.18, 2,692.62 and 1,067

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Solution

The fourth proportional to 1,951.18, 2,692.62 and 1,067 is: 1,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.18 : 2,692.62 = 1,067 : x
  2. Step 2: Convert to fraction form
    1,951.18/2,692.62 = 1,067/x
  3. Step 3: Cross multiply
    1,951.18x = 2,692.62 × 1,067
  4. Step 4: Simplify right side
    1,951.18x = 2,873,025.54
  5. Step 5: Solve for x
    x = 2,873,025.54/1,951.18
  6. Step 6: Final answer
    x = 1,472.46

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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.