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Finding the Fourth Proportional to 1,832.14, 2,749.56 and 1,102.87

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Solution

The fourth proportional to 1,832.14, 2,749.56 and 1,102.87 is: 1,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.14 : 2,749.56 = 1,102.87 : x
  2. Step 2: Convert to fraction form
    1,832.14/2,749.56 = 1,102.87/x
  3. Step 3: Cross multiply
    1,832.14x = 2,749.56 × 1,102.87
  4. Step 4: Simplify right side
    1,832.14x = 3,032,407.24
  5. Step 5: Solve for x
    x = 3,032,407.24/1,832.14
  6. Step 6: Final answer
    x = 1,655.12

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