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Finding the Fourth Proportional to 2,583.83, 3,874.10 and 1,195.31

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Solution

The fourth proportional to 2,583.83, 3,874.10 and 1,195.31 is: 1,792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.83 : 3,874.10 = 1,195.31 : x
  2. Step 2: Convert to fraction form
    2,583.83/3,874.10 = 1,195.31/x
  3. Step 3: Cross multiply
    2,583.83x = 3,874.10 × 1,195.31
  4. Step 4: Simplify right side
    2,583.83x = 4,630,725.12
  5. Step 5: Solve for x
    x = 4,630,725.12/2,583.83
  6. Step 6: Final answer
    x = 1,792.20

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