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Finding the Fourth Proportional to 2,584.33, 3,874.33 and 1,198.66

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Solution

The fourth proportional to 2,584.33, 3,874.33 and 1,198.66 is: 1,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.33 : 3,874.33 = 1,198.66 : x
  2. Step 2: Convert to fraction form
    2,584.33/3,874.33 = 1,198.66/x
  3. Step 3: Cross multiply
    2,584.33x = 3,874.33 × 1,198.66
  4. Step 4: Simplify right side
    2,584.33x = 4,644,004.40
  5. Step 5: Solve for x
    x = 4,644,004.40/2,584.33
  6. Step 6: Final answer
    x = 1,796.99

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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.