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Finding the Fourth Proportional to 2,553.11, 3,826.94 and 1,320.20

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Solution

The fourth proportional to 2,553.11, 3,826.94 and 1,320.20 is: 1,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.11 : 3,826.94 = 1,320.20 : x
  2. Step 2: Convert to fraction form
    2,553.11/3,826.94 = 1,320.20/x
  3. Step 3: Cross multiply
    2,553.11x = 3,826.94 × 1,320.20
  4. Step 4: Simplify right side
    2,553.11x = 5,052,319.59
  5. Step 5: Solve for x
    x = 5,052,319.59/2,553.11
  6. Step 6: Final answer
    x = 1,978.89

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