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Finding the Fourth Proportional to 2,556.05, 3,835.02 and 1,096.34

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Solution

The fourth proportional to 2,556.05, 3,835.02 and 1,096.34 is: 1,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.05 : 3,835.02 = 1,096.34 : x
  2. Step 2: Convert to fraction form
    2,556.05/3,835.02 = 1,096.34/x
  3. Step 3: Cross multiply
    2,556.05x = 3,835.02 × 1,096.34
  4. Step 4: Simplify right side
    2,556.05x = 4,204,485.83
  5. Step 5: Solve for x
    x = 4,204,485.83/2,556.05
  6. Step 6: Final answer
    x = 1,644.92

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