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Finding the Fourth Proportional to 2,469.75, 3,705.77 and 1,825.80

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Solution

The fourth proportional to 2,469.75, 3,705.77 and 1,825.80 is: 2,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.75 : 3,705.77 = 1,825.80 : x
  2. Step 2: Convert to fraction form
    2,469.75/3,705.77 = 1,825.80/x
  3. Step 3: Cross multiply
    2,469.75x = 3,705.77 × 1,825.80
  4. Step 4: Simplify right side
    2,469.75x = 6,765,994.87
  5. Step 5: Solve for x
    x = 6,765,994.87/2,469.75
  6. Step 6: Final answer
    x = 2,739.55

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