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Finding the Fourth Proportional to 1,999.08, 2,998.68 and 682.80

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Solution

The fourth proportional to 1,999.08, 2,998.68 and 682.80 is: 1,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.08 : 2,998.68 = 682.80 : x
  2. Step 2: Convert to fraction form
    1,999.08/2,998.68 = 682.80/x
  3. Step 3: Cross multiply
    1,999.08x = 2,998.68 × 682.80
  4. Step 4: Simplify right side
    1,999.08x = 2,047,498.70
  5. Step 5: Solve for x
    x = 2,047,498.70/1,999.08
  6. Step 6: Final answer
    x = 1,024.22

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