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Finding the Fourth Proportional to 1,600.55, 2,398.39 and 1,187.75

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Solution

The fourth proportional to 1,600.55, 2,398.39 and 1,187.75 is: 1,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.55 : 2,398.39 = 1,187.75 : x
  2. Step 2: Convert to fraction form
    1,600.55/2,398.39 = 1,187.75/x
  3. Step 3: Cross multiply
    1,600.55x = 2,398.39 × 1,187.75
  4. Step 4: Simplify right side
    1,600.55x = 2,848,687.72
  5. Step 5: Solve for x
    x = 2,848,687.72/1,600.55
  6. Step 6: Final answer
    x = 1,779.82

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