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Finding the Fourth Proportional to 1,961.78, 2,942.33 and 575.09

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Solution

The fourth proportional to 1,961.78, 2,942.33 and 575.09 is: 862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.78 : 2,942.33 = 575.09 : x
  2. Step 2: Convert to fraction form
    1,961.78/2,942.33 = 575.09/x
  3. Step 3: Cross multiply
    1,961.78x = 2,942.33 × 575.09
  4. Step 4: Simplify right side
    1,961.78x = 1,692,104.56
  5. Step 5: Solve for x
    x = 1,692,104.56/1,961.78
  6. Step 6: Final answer
    x = 862.54

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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.