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Finding the Fourth Proportional to 2,944.78, 4,034.36 and 2,834

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Solution

The fourth proportional to 2,944.78, 4,034.36 and 2,834 is: 3,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.78 : 4,034.36 = 2,834 : x
  2. Step 2: Convert to fraction form
    2,944.78/4,034.36 = 2,834/x
  3. Step 3: Cross multiply
    2,944.78x = 4,034.36 × 2,834
  4. Step 4: Simplify right side
    2,944.78x = 11,433,376.24
  5. Step 5: Solve for x
    x = 11,433,376.24/2,944.78
  6. Step 6: Final answer
    x = 3,882.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.