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Finding the Fourth Proportional to 2,680.97, 4,021.32 and 733.16

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Solution

The fourth proportional to 2,680.97, 4,021.32 and 733.16 is: 1,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.97 : 4,021.32 = 733.16 : x
  2. Step 2: Convert to fraction form
    2,680.97/4,021.32 = 733.16/x
  3. Step 3: Cross multiply
    2,680.97x = 4,021.32 × 733.16
  4. Step 4: Simplify right side
    2,680.97x = 2,948,283.77
  5. Step 5: Solve for x
    x = 2,948,283.77/2,680.97
  6. Step 6: Final answer
    x = 1,099.71

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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.