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Finding the Fourth Proportional to 3,049.38, 4,208.23 and 1,869.78

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Solution

The fourth proportional to 3,049.38, 4,208.23 and 1,869.78 is: 2,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.38 : 4,208.23 = 1,869.78 : x
  2. Step 2: Convert to fraction form
    3,049.38/4,208.23 = 1,869.78/x
  3. Step 3: Cross multiply
    3,049.38x = 4,208.23 × 1,869.78
  4. Step 4: Simplify right side
    3,049.38x = 7,868,450.85
  5. Step 5: Solve for x
    x = 7,868,450.85/3,049.38
  6. Step 6: Final answer
    x = 2,580.34

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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.