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Finding the Fourth Proportional to 2,584.41, 3,876.51 and 2,236.61

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Solution

The fourth proportional to 2,584.41, 3,876.51 and 2,236.61 is: 3,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.41 : 3,876.51 = 2,236.61 : x
  2. Step 2: Convert to fraction form
    2,584.41/3,876.51 = 2,236.61/x
  3. Step 3: Cross multiply
    2,584.41x = 3,876.51 × 2,236.61
  4. Step 4: Simplify right side
    2,584.41x = 8,670,246.53
  5. Step 5: Solve for x
    x = 8,670,246.53/2,584.41
  6. Step 6: Final answer
    x = 3,354.83

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