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Finding the Fourth Proportional to 1,187.44, 1,778.92 and 1,097.93

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Solution

The fourth proportional to 1,187.44, 1,778.92 and 1,097.93 is: 1,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.44 : 1,778.92 = 1,097.93 : x
  2. Step 2: Convert to fraction form
    1,187.44/1,778.92 = 1,097.93/x
  3. Step 3: Cross multiply
    1,187.44x = 1,778.92 × 1,097.93
  4. Step 4: Simplify right side
    1,187.44x = 1,953,131.34
  5. Step 5: Solve for x
    x = 1,953,131.34/1,187.44
  6. Step 6: Final answer
    x = 1,644.83

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