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Finding the Fourth Proportional to 1,584.99, 2,380.23 and 1,092.96

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Solution

The fourth proportional to 1,584.99, 2,380.23 and 1,092.96 is: 1,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.99 : 2,380.23 = 1,092.96 : x
  2. Step 2: Convert to fraction form
    1,584.99/2,380.23 = 1,092.96/x
  3. Step 3: Cross multiply
    1,584.99x = 2,380.23 × 1,092.96
  4. Step 4: Simplify right side
    1,584.99x = 2,601,496.18
  5. Step 5: Solve for x
    x = 2,601,496.18/1,584.99
  6. Step 6: Final answer
    x = 1,641.33

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