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Finding the Fourth Proportional to 2,934, 4,049.64 and 1,692.72

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Solution

The fourth proportional to 2,934, 4,049.64 and 1,692.72 is: 2,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934 : 4,049.64 = 1,692.72 : x
  2. Step 2: Convert to fraction form
    2,934/4,049.64 = 1,692.72/x
  3. Step 3: Cross multiply
    2,934x = 4,049.64 × 1,692.72
  4. Step 4: Simplify right side
    2,934x = 6,854,906.62
  5. Step 5: Solve for x
    x = 6,854,906.62/2,934
  6. Step 6: Final answer
    x = 2,336.37

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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.