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Finding the Fourth Proportional to 1,961.85, 2,944.26 and 987.42

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Solution

The fourth proportional to 1,961.85, 2,944.26 and 987.42 is: 1,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.85 : 2,944.26 = 987.42 : x
  2. Step 2: Convert to fraction form
    1,961.85/2,944.26 = 987.42/x
  3. Step 3: Cross multiply
    1,961.85x = 2,944.26 × 987.42
  4. Step 4: Simplify right side
    1,961.85x = 2,907,221.21
  5. Step 5: Solve for x
    x = 2,907,221.21/1,961.85
  6. Step 6: Final answer
    x = 1,481.88

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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.