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Finding the Fourth Proportional to 1,905.46, 2,855.16 and 1,286.86

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Solution

The fourth proportional to 1,905.46, 2,855.16 and 1,286.86 is: 1,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.46 : 2,855.16 = 1,286.86 : x
  2. Step 2: Convert to fraction form
    1,905.46/2,855.16 = 1,286.86/x
  3. Step 3: Cross multiply
    1,905.46x = 2,855.16 × 1,286.86
  4. Step 4: Simplify right side
    1,905.46x = 3,674,191.20
  5. Step 5: Solve for x
    x = 3,674,191.20/1,905.46
  6. Step 6: Final answer
    x = 1,928.24

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