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Finding the Fourth Proportional to 1,188.22, 1,778.64 and 1,135.54

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Solution

The fourth proportional to 1,188.22, 1,778.64 and 1,135.54 is: 1,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.22 : 1,778.64 = 1,135.54 : x
  2. Step 2: Convert to fraction form
    1,188.22/1,778.64 = 1,135.54/x
  3. Step 3: Cross multiply
    1,188.22x = 1,778.64 × 1,135.54
  4. Step 4: Simplify right side
    1,188.22x = 2,019,716.87
  5. Step 5: Solve for x
    x = 2,019,716.87/1,188.22
  6. Step 6: Final answer
    x = 1,699.78

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