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Finding the Fourth Proportional to 2,564.40, 3,845.70 and 1,331.40

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Solution

The fourth proportional to 2,564.40, 3,845.70 and 1,331.40 is: 1,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.40 : 3,845.70 = 1,331.40 : x
  2. Step 2: Convert to fraction form
    2,564.40/3,845.70 = 1,331.40/x
  3. Step 3: Cross multiply
    2,564.40x = 3,845.70 × 1,331.40
  4. Step 4: Simplify right side
    2,564.40x = 5,120,164.98
  5. Step 5: Solve for x
    x = 5,120,164.98/2,564.40
  6. Step 6: Final answer
    x = 1,996.63

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