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Finding the Fourth Proportional to 2,692.38, 3,714.22 and 1,906.86

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Solution

The fourth proportional to 2,692.38, 3,714.22 and 1,906.86 is: 2,630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.38 : 3,714.22 = 1,906.86 : x
  2. Step 2: Convert to fraction form
    2,692.38/3,714.22 = 1,906.86/x
  3. Step 3: Cross multiply
    2,692.38x = 3,714.22 × 1,906.86
  4. Step 4: Simplify right side
    2,692.38x = 7,082,497.55
  5. Step 5: Solve for x
    x = 7,082,497.55/2,692.38
  6. Step 6: Final answer
    x = 2,630.57

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1.5x scale

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.