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Finding the Fourth Proportional to 3,109.80, 4,664.78 and 1,029.80

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Solution

The fourth proportional to 3,109.80, 4,664.78 and 1,029.80 is: 1,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.80 : 4,664.78 = 1,029.80 : x
  2. Step 2: Convert to fraction form
    3,109.80/4,664.78 = 1,029.80/x
  3. Step 3: Cross multiply
    3,109.80x = 4,664.78 × 1,029.80
  4. Step 4: Simplify right side
    3,109.80x = 4,803,790.44
  5. Step 5: Solve for x
    x = 4,803,790.44/3,109.80
  6. Step 6: Final answer
    x = 1,544.73

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