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Finding the Fourth Proportional to 2,546.24, 3,815.56 and 2,087.24

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Solution

The fourth proportional to 2,546.24, 3,815.56 and 2,087.24 is: 3,127.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.24 : 3,815.56 = 2,087.24 : x
  2. Step 2: Convert to fraction form
    2,546.24/3,815.56 = 2,087.24/x
  3. Step 3: Cross multiply
    2,546.24x = 3,815.56 × 2,087.24
  4. Step 4: Simplify right side
    2,546.24x = 7,963,989.45
  5. Step 5: Solve for x
    x = 7,963,989.45/2,546.24
  6. Step 6: Final answer
    x = 3,127.75

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