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Finding the Fourth Proportional to 1,678.25, 2,517.10 and 1,189.82

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Solution

The fourth proportional to 1,678.25, 2,517.10 and 1,189.82 is: 1,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.25 : 2,517.10 = 1,189.82 : x
  2. Step 2: Convert to fraction form
    1,678.25/2,517.10 = 1,189.82/x
  3. Step 3: Cross multiply
    1,678.25x = 2,517.10 × 1,189.82
  4. Step 4: Simplify right side
    1,678.25x = 2,994,895.92
  5. Step 5: Solve for x
    x = 2,994,895.92/1,678.25
  6. Step 6: Final answer
    x = 1,784.54

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