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Finding the Fourth Proportional to 3,468.71, 4,786.80 and 1,976.69

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Solution

The fourth proportional to 3,468.71, 4,786.80 and 1,976.69 is: 2,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.71 : 4,786.80 = 1,976.69 : x
  2. Step 2: Convert to fraction form
    3,468.71/4,786.80 = 1,976.69/x
  3. Step 3: Cross multiply
    3,468.71x = 4,786.80 × 1,976.69
  4. Step 4: Simplify right side
    3,468.71x = 9,462,019.69
  5. Step 5: Solve for x
    x = 9,462,019.69/3,468.71
  6. Step 6: Final answer
    x = 2,727.82

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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.