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Finding the Fourth Proportional to 2,111.38, 3,168.38 and 1,015.85

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Solution

The fourth proportional to 2,111.38, 3,168.38 and 1,015.85 is: 1,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.38 : 3,168.38 = 1,015.85 : x
  2. Step 2: Convert to fraction form
    2,111.38/3,168.38 = 1,015.85/x
  3. Step 3: Cross multiply
    2,111.38x = 3,168.38 × 1,015.85
  4. Step 4: Simplify right side
    2,111.38x = 3,218,609.28
  5. Step 5: Solve for x
    x = 3,218,609.28/2,111.38
  6. Step 6: Final answer
    x = 1,524.41

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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.