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Finding the Fourth Proportional to 2,692.38, 3,712.65 and 2,131.94

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Solution

The fourth proportional to 2,692.38, 3,712.65 and 2,131.94 is: 2,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.38 : 3,712.65 = 2,131.94 : x
  2. Step 2: Convert to fraction form
    2,692.38/3,712.65 = 2,131.94/x
  3. Step 3: Cross multiply
    2,692.38x = 3,712.65 × 2,131.94
  4. Step 4: Simplify right side
    2,692.38x = 7,915,147.04
  5. Step 5: Solve for x
    x = 7,915,147.04/2,692.38
  6. Step 6: Final answer
    x = 2,939.83

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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.