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Finding the Fourth Proportional to 2,138.33, 3,199.06 and 1,619.83

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Solution

The fourth proportional to 2,138.33, 3,199.06 and 1,619.83 is: 2,423.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.33 : 3,199.06 = 1,619.83 : x
  2. Step 2: Convert to fraction form
    2,138.33/3,199.06 = 1,619.83/x
  3. Step 3: Cross multiply
    2,138.33x = 3,199.06 × 1,619.83
  4. Step 4: Simplify right side
    2,138.33x = 5,181,933.36
  5. Step 5: Solve for x
    x = 5,181,933.36/2,138.33
  6. Step 6: Final answer
    x = 2,423.36

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