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Finding the Fourth Proportional to 3,367.56, 4,646.71 and 1,951.31

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Solution

The fourth proportional to 3,367.56, 4,646.71 and 1,951.31 is: 2,692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.56 : 4,646.71 = 1,951.31 : x
  2. Step 2: Convert to fraction form
    3,367.56/4,646.71 = 1,951.31/x
  3. Step 3: Cross multiply
    3,367.56x = 4,646.71 × 1,951.31
  4. Step 4: Simplify right side
    3,367.56x = 9,067,185.75
  5. Step 5: Solve for x
    x = 9,067,185.75/3,367.56
  6. Step 6: Final answer
    x = 2,692.51

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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.