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Finding the Fourth Proportional to 1,853.85, 2,780.78 and 1,149.15

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Solution

The fourth proportional to 1,853.85, 2,780.78 and 1,149.15 is: 1,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.85 : 2,780.78 = 1,149.15 : x
  2. Step 2: Convert to fraction form
    1,853.85/2,780.78 = 1,149.15/x
  3. Step 3: Cross multiply
    1,853.85x = 2,780.78 × 1,149.15
  4. Step 4: Simplify right side
    1,853.85x = 3,195,527.59
  5. Step 5: Solve for x
    x = 3,195,527.59/1,853.85
  6. Step 6: Final answer
    x = 1,723.73

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