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Finding the Fourth Proportional to 2,691.82, 3,714.50 and 1,512.66

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Solution

The fourth proportional to 2,691.82, 3,714.50 and 1,512.66 is: 2,087.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.82 : 3,714.50 = 1,512.66 : x
  2. Step 2: Convert to fraction form
    2,691.82/3,714.50 = 1,512.66/x
  3. Step 3: Cross multiply
    2,691.82x = 3,714.50 × 1,512.66
  4. Step 4: Simplify right side
    2,691.82x = 5,618,775.57
  5. Step 5: Solve for x
    x = 5,618,775.57/2,691.82
  6. Step 6: Final answer
    x = 2,087.35

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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.