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Finding the Fourth Proportional to 1,589.97, 2,384.55 and 1,069.68

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Solution

The fourth proportional to 1,589.97, 2,384.55 and 1,069.68 is: 1,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.97 : 2,384.55 = 1,069.68 : x
  2. Step 2: Convert to fraction form
    1,589.97/2,384.55 = 1,069.68/x
  3. Step 3: Cross multiply
    1,589.97x = 2,384.55 × 1,069.68
  4. Step 4: Simplify right side
    1,589.97x = 2,550,705.44
  5. Step 5: Solve for x
    x = 2,550,705.44/1,589.97
  6. Step 6: Final answer
    x = 1,604.25

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