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Finding the Fourth Proportional to 2,565.56, 3,848.34 and 1,103.81

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Solution

The fourth proportional to 2,565.56, 3,848.34 and 1,103.81 is: 1,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.56 : 3,848.34 = 1,103.81 : x
  2. Step 2: Convert to fraction form
    2,565.56/3,848.34 = 1,103.81/x
  3. Step 3: Cross multiply
    2,565.56x = 3,848.34 × 1,103.81
  4. Step 4: Simplify right side
    2,565.56x = 4,247,816.93
  5. Step 5: Solve for x
    x = 4,247,816.93/2,565.56
  6. Step 6: Final answer
    x = 1,655.71

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