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Finding the Fourth Proportional to 2,843.76, 3,924.45 and 1,584.94

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Solution

The fourth proportional to 2,843.76, 3,924.45 and 1,584.94 is: 2,187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.76 : 3,924.45 = 1,584.94 : x
  2. Step 2: Convert to fraction form
    2,843.76/3,924.45 = 1,584.94/x
  3. Step 3: Cross multiply
    2,843.76x = 3,924.45 × 1,584.94
  4. Step 4: Simplify right side
    2,843.76x = 6,220,026.37
  5. Step 5: Solve for x
    x = 6,220,026.37/2,843.76
  6. Step 6: Final answer
    x = 2,187.26

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