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Finding the Fourth Proportional to 3,443.34, 4,751.82 and 2,046.09

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Solution

The fourth proportional to 3,443.34, 4,751.82 and 2,046.09 is: 2,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.34 : 4,751.82 = 2,046.09 : x
  2. Step 2: Convert to fraction form
    3,443.34/4,751.82 = 2,046.09/x
  3. Step 3: Cross multiply
    3,443.34x = 4,751.82 × 2,046.09
  4. Step 4: Simplify right side
    3,443.34x = 9,722,651.38
  5. Step 5: Solve for x
    x = 9,722,651.38/3,443.34
  6. Step 6: Final answer
    x = 2,823.61

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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.