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Finding the Fourth Proportional to 2,687, 4,027.62 and 1,126.61

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Solution

The fourth proportional to 2,687, 4,027.62 and 1,126.61 is: 1,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687 : 4,027.62 = 1,126.61 : x
  2. Step 2: Convert to fraction form
    2,687/4,027.62 = 1,126.61/x
  3. Step 3: Cross multiply
    2,687x = 4,027.62 × 1,126.61
  4. Step 4: Simplify right side
    2,687x = 4,537,556.97
  5. Step 5: Solve for x
    x = 4,537,556.97/2,687
  6. Step 6: Final answer
    x = 1,688.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.