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Finding the Fourth Proportional to 3,468.72, 4,786.80 and 1,976.70

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Solution

The fourth proportional to 3,468.72, 4,786.80 and 1,976.70 is: 2,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.72 : 4,786.80 = 1,976.70 : x
  2. Step 2: Convert to fraction form
    3,468.72/4,786.80 = 1,976.70/x
  3. Step 3: Cross multiply
    3,468.72x = 4,786.80 × 1,976.70
  4. Step 4: Simplify right side
    3,468.72x = 9,462,067.56
  5. Step 5: Solve for x
    x = 9,462,067.56/3,468.72
  6. Step 6: Final answer
    x = 2,727.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.