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Finding the Fourth Proportional to 3,400.75, 4,692.90 and 1,908.73

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Solution

The fourth proportional to 3,400.75, 4,692.90 and 1,908.73 is: 2,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.75 : 4,692.90 = 1,908.73 : x
  2. Step 2: Convert to fraction form
    3,400.75/4,692.90 = 1,908.73/x
  3. Step 3: Cross multiply
    3,400.75x = 4,692.90 × 1,908.73
  4. Step 4: Simplify right side
    3,400.75x = 8,957,479.02
  5. Step 5: Solve for x
    x = 8,957,479.02/3,400.75
  6. Step 6: Final answer
    x = 2,633.97

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