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Finding the Fourth Proportional to 1,599.80, 2,399.52 and 1,189.55

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Solution

The fourth proportional to 1,599.80, 2,399.52 and 1,189.55 is: 1,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.80 : 2,399.52 = 1,189.55 : x
  2. Step 2: Convert to fraction form
    1,599.80/2,399.52 = 1,189.55/x
  3. Step 3: Cross multiply
    1,599.80x = 2,399.52 × 1,189.55
  4. Step 4: Simplify right side
    1,599.80x = 2,854,349.02
  5. Step 5: Solve for x
    x = 2,854,349.02/1,599.80
  6. Step 6: Final answer
    x = 1,784.19

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