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Finding the Fourth Proportional to 2,589.62, 3,882.85 and 1,164.60

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Solution

The fourth proportional to 2,589.62, 3,882.85 and 1,164.60 is: 1,746.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.62 : 3,882.85 = 1,164.60 : x
  2. Step 2: Convert to fraction form
    2,589.62/3,882.85 = 1,164.60/x
  3. Step 3: Cross multiply
    2,589.62x = 3,882.85 × 1,164.60
  4. Step 4: Simplify right side
    2,589.62x = 4,521,964.20
  5. Step 5: Solve for x
    x = 4,521,964.20/2,589.62
  6. Step 6: Final answer
    x = 1,746.19

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