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Finding the Fourth Proportional to 2,843.73, 3,924.33 and 1,584.77

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Solution

The fourth proportional to 2,843.73, 3,924.33 and 1,584.77 is: 2,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.73 : 3,924.33 = 1,584.77 : x
  2. Step 2: Convert to fraction form
    2,843.73/3,924.33 = 1,584.77/x
  3. Step 3: Cross multiply
    2,843.73x = 3,924.33 × 1,584.77
  4. Step 4: Simplify right side
    2,843.73x = 6,219,160.45
  5. Step 5: Solve for x
    x = 6,219,160.45/2,843.73
  6. Step 6: Final answer
    x = 2,186.98

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