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Finding the Fourth Proportional to 2,682, 4,022.82 and 734.22

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Solution

The fourth proportional to 2,682, 4,022.82 and 734.22 is: 1,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682 : 4,022.82 = 734.22 : x
  2. Step 2: Convert to fraction form
    2,682/4,022.82 = 734.22/x
  3. Step 3: Cross multiply
    2,682x = 4,022.82 × 734.22
  4. Step 4: Simplify right side
    2,682x = 2,953,634.90
  5. Step 5: Solve for x
    x = 2,953,634.90/2,682
  6. Step 6: Final answer
    x = 1,101.28

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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.