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Finding the Fourth Proportional to 2,692.44, 3,714.71 and 1,630.61

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Solution

The fourth proportional to 2,692.44, 3,714.71 and 1,630.61 is: 2,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.44 : 3,714.71 = 1,630.61 : x
  2. Step 2: Convert to fraction form
    2,692.44/3,714.71 = 1,630.61/x
  3. Step 3: Cross multiply
    2,692.44x = 3,714.71 × 1,630.61
  4. Step 4: Simplify right side
    2,692.44x = 6,057,229.20
  5. Step 5: Solve for x
    x = 6,057,229.20/2,692.44
  6. Step 6: Final answer
    x = 2,249.72

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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.