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Finding the Fourth Proportional to 1,999.81, 2,999.11 and 1,219.78

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Solution

The fourth proportional to 1,999.81, 2,999.11 and 1,219.78 is: 1,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.81 : 2,999.11 = 1,219.78 : x
  2. Step 2: Convert to fraction form
    1,999.81/2,999.11 = 1,219.78/x
  3. Step 3: Cross multiply
    1,999.81x = 2,999.11 × 1,219.78
  4. Step 4: Simplify right side
    1,999.81x = 3,658,254.40
  5. Step 5: Solve for x
    x = 3,658,254.40/1,999.81
  6. Step 6: Final answer
    x = 1,829.30

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