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Finding the Fourth Proportional to 2,627.24, 3,940.38 and 679.32

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Solution

The fourth proportional to 2,627.24, 3,940.38 and 679.32 is: 1,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.24 : 3,940.38 = 679.32 : x
  2. Step 2: Convert to fraction form
    2,627.24/3,940.38 = 679.32/x
  3. Step 3: Cross multiply
    2,627.24x = 3,940.38 × 679.32
  4. Step 4: Simplify right side
    2,627.24x = 2,676,778.94
  5. Step 5: Solve for x
    x = 2,676,778.94/2,627.24
  6. Step 6: Final answer
    x = 1,018.86

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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.