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Finding the Fourth Proportional to 2,044.46, 3,062.68 and 1,349

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Solution

The fourth proportional to 2,044.46, 3,062.68 and 1,349 is: 2,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.46 : 3,062.68 = 1,349 : x
  2. Step 2: Convert to fraction form
    2,044.46/3,062.68 = 1,349/x
  3. Step 3: Cross multiply
    2,044.46x = 3,062.68 × 1,349
  4. Step 4: Simplify right side
    2,044.46x = 4,131,555.32
  5. Step 5: Solve for x
    x = 4,131,555.32/2,044.46
  6. Step 6: Final answer
    x = 2,020.85

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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.