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Finding the Fourth Proportional to 3,185.65, 4,769.83 and 1,643.41

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Solution

The fourth proportional to 3,185.65, 4,769.83 and 1,643.41 is: 2,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.65 : 4,769.83 = 1,643.41 : x
  2. Step 2: Convert to fraction form
    3,185.65/4,769.83 = 1,643.41/x
  3. Step 3: Cross multiply
    3,185.65x = 4,769.83 × 1,643.41
  4. Step 4: Simplify right side
    3,185.65x = 7,838,786.32
  5. Step 5: Solve for x
    x = 7,838,786.32/3,185.65
  6. Step 6: Final answer
    x = 2,460.66

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