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Finding the Fourth Proportional to 2,682, 3,701.39 and 1,634.27

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Solution

The fourth proportional to 2,682, 3,701.39 and 1,634.27 is: 2,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682 : 3,701.39 = 1,634.27 : x
  2. Step 2: Convert to fraction form
    2,682/3,701.39 = 1,634.27/x
  3. Step 3: Cross multiply
    2,682x = 3,701.39 × 1,634.27
  4. Step 4: Simplify right side
    2,682x = 6,049,043.96
  5. Step 5: Solve for x
    x = 6,049,043.96/2,682
  6. Step 6: Final answer
    x = 2,255.42

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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.