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Finding the Fourth Proportional to 2,674.38, 4,013.10 and 1,441.78

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Solution

The fourth proportional to 2,674.38, 4,013.10 and 1,441.78 is: 2,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.38 : 4,013.10 = 1,441.78 : x
  2. Step 2: Convert to fraction form
    2,674.38/4,013.10 = 1,441.78/x
  3. Step 3: Cross multiply
    2,674.38x = 4,013.10 × 1,441.78
  4. Step 4: Simplify right side
    2,674.38x = 5,786,007.32
  5. Step 5: Solve for x
    x = 5,786,007.32/2,674.38
  6. Step 6: Final answer
    x = 2,163.49

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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.