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Finding the Fourth Proportional to 2,655.25, 3,984.02 and 1,422.31

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Solution

The fourth proportional to 2,655.25, 3,984.02 and 1,422.31 is: 2,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.25 : 3,984.02 = 1,422.31 : x
  2. Step 2: Convert to fraction form
    2,655.25/3,984.02 = 1,422.31/x
  3. Step 3: Cross multiply
    2,655.25x = 3,984.02 × 1,422.31
  4. Step 4: Simplify right side
    2,655.25x = 5,666,504.37
  5. Step 5: Solve for x
    x = 5,666,504.37/2,655.25
  6. Step 6: Final answer
    x = 2,134.08

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