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Finding the Fourth Proportional to 2,584.41, 3,876.69 and 636.61

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Solution

The fourth proportional to 2,584.41, 3,876.69 and 636.61 is: 954.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.41 : 3,876.69 = 636.61 : x
  2. Step 2: Convert to fraction form
    2,584.41/3,876.69 = 636.61/x
  3. Step 3: Cross multiply
    2,584.41x = 3,876.69 × 636.61
  4. Step 4: Simplify right side
    2,584.41x = 2,467,934.21
  5. Step 5: Solve for x
    x = 2,467,934.21/2,584.41
  6. Step 6: Final answer
    x = 954.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.