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Finding the Fourth Proportional to 1,933.69, 2,906.24 and 1,606.75

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Solution

The fourth proportional to 1,933.69, 2,906.24 and 1,606.75 is: 2,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.69 : 2,906.24 = 1,606.75 : x
  2. Step 2: Convert to fraction form
    1,933.69/2,906.24 = 1,606.75/x
  3. Step 3: Cross multiply
    1,933.69x = 2,906.24 × 1,606.75
  4. Step 4: Simplify right side
    1,933.69x = 4,669,601.12
  5. Step 5: Solve for x
    x = 4,669,601.12/1,933.69
  6. Step 6: Final answer
    x = 2,414.87

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