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Finding the Fourth Proportional to 2,553.08, 3,824.22 and 1,456.88

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Solution

The fourth proportional to 2,553.08, 3,824.22 and 1,456.88 is: 2,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.08 : 3,824.22 = 1,456.88 : x
  2. Step 2: Convert to fraction form
    2,553.08/3,824.22 = 1,456.88/x
  3. Step 3: Cross multiply
    2,553.08x = 3,824.22 × 1,456.88
  4. Step 4: Simplify right side
    2,553.08x = 5,571,429.63
  5. Step 5: Solve for x
    x = 5,571,429.63/2,553.08
  6. Step 6: Final answer
    x = 2,182.24

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