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Finding the Fourth Proportional to 2,742.96, 4,114.97 and 1,427.34

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Solution

The fourth proportional to 2,742.96, 4,114.97 and 1,427.34 is: 2,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.96 : 4,114.97 = 1,427.34 : x
  2. Step 2: Convert to fraction form
    2,742.96/4,114.97 = 1,427.34/x
  3. Step 3: Cross multiply
    2,742.96x = 4,114.97 × 1,427.34
  4. Step 4: Simplify right side
    2,742.96x = 5,873,454.14
  5. Step 5: Solve for x
    x = 5,873,454.14/2,742.96
  6. Step 6: Final answer
    x = 2,141.28

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