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Finding the Fourth Proportional to 1,999.22, 2,997.85 and 902.82

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Solution

The fourth proportional to 1,999.22, 2,997.85 and 902.82 is: 1,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.22 : 2,997.85 = 902.82 : x
  2. Step 2: Convert to fraction form
    1,999.22/2,997.85 = 902.82/x
  3. Step 3: Cross multiply
    1,999.22x = 2,997.85 × 902.82
  4. Step 4: Simplify right side
    1,999.22x = 2,706,518.94
  5. Step 5: Solve for x
    x = 2,706,518.94/1,999.22
  6. Step 6: Final answer
    x = 1,353.79

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