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Finding the Fourth Proportional to 2,584.41, 3,873.51 and 1,195.86

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Solution

The fourth proportional to 2,584.41, 3,873.51 and 1,195.86 is: 1,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.41 : 3,873.51 = 1,195.86 : x
  2. Step 2: Convert to fraction form
    2,584.41/3,873.51 = 1,195.86/x
  3. Step 3: Cross multiply
    2,584.41x = 3,873.51 × 1,195.86
  4. Step 4: Simplify right side
    2,584.41x = 4,632,175.67
  5. Step 5: Solve for x
    x = 4,632,175.67/2,584.41
  6. Step 6: Final answer
    x = 1,792.35

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