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Finding the Fourth Proportional to 3,180.78, 4,770.20 and 1,205.74

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Solution

The fourth proportional to 3,180.78, 4,770.20 and 1,205.74 is: 1,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.78 : 4,770.20 = 1,205.74 : x
  2. Step 2: Convert to fraction form
    3,180.78/4,770.20 = 1,205.74/x
  3. Step 3: Cross multiply
    3,180.78x = 4,770.20 × 1,205.74
  4. Step 4: Simplify right side
    3,180.78x = 5,751,620.95
  5. Step 5: Solve for x
    x = 5,751,620.95/3,180.78
  6. Step 6: Final answer
    x = 1,808.24

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