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Finding the Fourth Proportional to 2,665.22, 3,999.87 and 1,205.40

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Solution

The fourth proportional to 2,665.22, 3,999.87 and 1,205.40 is: 1,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.22 : 3,999.87 = 1,205.40 : x
  2. Step 2: Convert to fraction form
    2,665.22/3,999.87 = 1,205.40/x
  3. Step 3: Cross multiply
    2,665.22x = 3,999.87 × 1,205.40
  4. Step 4: Simplify right side
    2,665.22x = 4,821,443.30
  5. Step 5: Solve for x
    x = 4,821,443.30/2,665.22
  6. Step 6: Final answer
    x = 1,809.03

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