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Finding the Fourth Proportional to 1,678.82, 2,518.22 and 1,183.20

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Solution

The fourth proportional to 1,678.82, 2,518.22 and 1,183.20 is: 1,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.82 : 2,518.22 = 1,183.20 : x
  2. Step 2: Convert to fraction form
    1,678.82/2,518.22 = 1,183.20/x
  3. Step 3: Cross multiply
    1,678.82x = 2,518.22 × 1,183.20
  4. Step 4: Simplify right side
    1,678.82x = 2,979,557.90
  5. Step 5: Solve for x
    x = 2,979,557.90/1,678.82
  6. Step 6: Final answer
    x = 1,774.79

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