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Finding the Fourth Proportional to 3,204.75, 4,802.94 and 1,643.43

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Solution

The fourth proportional to 3,204.75, 4,802.94 and 1,643.43 is: 2,463.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.75 : 4,802.94 = 1,643.43 : x
  2. Step 2: Convert to fraction form
    3,204.75/4,802.94 = 1,643.43/x
  3. Step 3: Cross multiply
    3,204.75x = 4,802.94 × 1,643.43
  4. Step 4: Simplify right side
    3,204.75x = 7,893,295.68
  5. Step 5: Solve for x
    x = 7,893,295.68/3,204.75
  6. Step 6: Final answer
    x = 2,463.00

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