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Finding the Fourth Proportional to 2,392.78, 3,584.97 and 1,662.82

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Solution

The fourth proportional to 2,392.78, 3,584.97 and 1,662.82 is: 2,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.78 : 3,584.97 = 1,662.82 : x
  2. Step 2: Convert to fraction form
    2,392.78/3,584.97 = 1,662.82/x
  3. Step 3: Cross multiply
    2,392.78x = 3,584.97 × 1,662.82
  4. Step 4: Simplify right side
    2,392.78x = 5,961,159.82
  5. Step 5: Solve for x
    x = 5,961,159.82/2,392.78
  6. Step 6: Final answer
    x = 2,491.31

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