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Finding the Fourth Proportional to 1,983.78, 2,737.44 and 1,099.50

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Solution

The fourth proportional to 1,983.78, 2,737.44 and 1,099.50 is: 1,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.78 : 2,737.44 = 1,099.50 : x
  2. Step 2: Convert to fraction form
    1,983.78/2,737.44 = 1,099.50/x
  3. Step 3: Cross multiply
    1,983.78x = 2,737.44 × 1,099.50
  4. Step 4: Simplify right side
    1,983.78x = 3,009,815.28
  5. Step 5: Solve for x
    x = 3,009,815.28/1,983.78
  6. Step 6: Final answer
    x = 1,517.21

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