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Finding the Fourth Proportional to 2,162.16, 2,983.80 and 1,996.80

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Solution

The fourth proportional to 2,162.16, 2,983.80 and 1,996.80 is: 2,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.16 : 2,983.80 = 1,996.80 : x
  2. Step 2: Convert to fraction form
    2,162.16/2,983.80 = 1,996.80/x
  3. Step 3: Cross multiply
    2,162.16x = 2,983.80 × 1,996.80
  4. Step 4: Simplify right side
    2,162.16x = 5,958,051.84
  5. Step 5: Solve for x
    x = 5,958,051.84/2,162.16
  6. Step 6: Final answer
    x = 2,755.60

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