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Finding the Fourth Proportional to 1,939.78, 2,676.92 and 1,100.46

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Solution

The fourth proportional to 1,939.78, 2,676.92 and 1,100.46 is: 1,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.78 : 2,676.92 = 1,100.46 : x
  2. Step 2: Convert to fraction form
    1,939.78/2,676.92 = 1,100.46/x
  3. Step 3: Cross multiply
    1,939.78x = 2,676.92 × 1,100.46
  4. Step 4: Simplify right side
    1,939.78x = 2,945,843.38
  5. Step 5: Solve for x
    x = 2,945,843.38/1,939.78
  6. Step 6: Final answer
    x = 1,518.65

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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.