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Finding the Fourth Proportional to 1,588.97, 2,378.82 and 1,179.92

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Solution

The fourth proportional to 1,588.97, 2,378.82 and 1,179.92 is: 1,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.97 : 2,378.82 = 1,179.92 : x
  2. Step 2: Convert to fraction form
    1,588.97/2,378.82 = 1,179.92/x
  3. Step 3: Cross multiply
    1,588.97x = 2,378.82 × 1,179.92
  4. Step 4: Simplify right side
    1,588.97x = 2,806,807.65
  5. Step 5: Solve for x
    x = 2,806,807.65/1,588.97
  6. Step 6: Final answer
    x = 1,766.44

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