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Finding the Fourth Proportional to 2,934, 4,047.02 and 2,049.48

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Solution

The fourth proportional to 2,934, 4,047.02 and 2,049.48 is: 2,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934 : 4,047.02 = 2,049.48 : x
  2. Step 2: Convert to fraction form
    2,934/4,047.02 = 2,049.48/x
  3. Step 3: Cross multiply
    2,934x = 4,047.02 × 2,049.48
  4. Step 4: Simplify right side
    2,934x = 8,294,286.55
  5. Step 5: Solve for x
    x = 8,294,286.55/2,934
  6. Step 6: Final answer
    x = 2,826.96

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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.