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Finding the Fourth Proportional to 2,119.64, 3,180.94 and 1,427.62

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Solution

The fourth proportional to 2,119.64, 3,180.94 and 1,427.62 is: 2,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.64 : 3,180.94 = 1,427.62 : x
  2. Step 2: Convert to fraction form
    2,119.64/3,180.94 = 1,427.62/x
  3. Step 3: Cross multiply
    2,119.64x = 3,180.94 × 1,427.62
  4. Step 4: Simplify right side
    2,119.64x = 4,541,173.56
  5. Step 5: Solve for x
    x = 4,541,173.56/2,119.64
  6. Step 6: Final answer
    x = 2,142.43

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