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Finding the Fourth Proportional to 1,961.88, 2,942.82 and 664.26

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Solution

The fourth proportional to 1,961.88, 2,942.82 and 664.26 is: 996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.88 : 2,942.82 = 664.26 : x
  2. Step 2: Convert to fraction form
    1,961.88/2,942.82 = 664.26/x
  3. Step 3: Cross multiply
    1,961.88x = 2,942.82 × 664.26
  4. Step 4: Simplify right side
    1,961.88x = 1,954,797.61
  5. Step 5: Solve for x
    x = 1,954,797.61/1,961.88
  6. Step 6: Final answer
    x = 996.39

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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.