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Finding the Fourth Proportional to 1,939.08, 2,677.42 and 1,193.38

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Solution

The fourth proportional to 1,939.08, 2,677.42 and 1,193.38 is: 1,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.08 : 2,677.42 = 1,193.38 : x
  2. Step 2: Convert to fraction form
    1,939.08/2,677.42 = 1,193.38/x
  3. Step 3: Cross multiply
    1,939.08x = 2,677.42 × 1,193.38
  4. Step 4: Simplify right side
    1,939.08x = 3,195,179.48
  5. Step 5: Solve for x
    x = 3,195,179.48/1,939.08
  6. Step 6: Final answer
    x = 1,647.78

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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.