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Finding the Fourth Proportional to 2,584.27, 3,876.33 and 636.49

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Solution

The fourth proportional to 2,584.27, 3,876.33 and 636.49 is: 954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.27 : 3,876.33 = 636.49 : x
  2. Step 2: Convert to fraction form
    2,584.27/3,876.33 = 636.49/x
  3. Step 3: Cross multiply
    2,584.27x = 3,876.33 × 636.49
  4. Step 4: Simplify right side
    2,584.27x = 2,467,245.28
  5. Step 5: Solve for x
    x = 2,467,245.28/2,584.27
  6. Step 6: Final answer
    x = 954.72

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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.