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Finding the Fourth Proportional to 2,581.75, 3,872.67 and 1,042.75

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Solution

The fourth proportional to 2,581.75, 3,872.67 and 1,042.75 is: 1,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.75 : 3,872.67 = 1,042.75 : x
  2. Step 2: Convert to fraction form
    2,581.75/3,872.67 = 1,042.75/x
  3. Step 3: Cross multiply
    2,581.75x = 3,872.67 × 1,042.75
  4. Step 4: Simplify right side
    2,581.75x = 4,038,226.64
  5. Step 5: Solve for x
    x = 4,038,226.64/2,581.75
  6. Step 6: Final answer
    x = 1,564.14

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