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Finding the Fourth Proportional to 3,297.29, 4,942.91 and 1,216.80

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Solution

The fourth proportional to 3,297.29, 4,942.91 and 1,216.80 is: 1,824.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.29 : 4,942.91 = 1,216.80 : x
  2. Step 2: Convert to fraction form
    3,297.29/4,942.91 = 1,216.80/x
  3. Step 3: Cross multiply
    3,297.29x = 4,942.91 × 1,216.80
  4. Step 4: Simplify right side
    3,297.29x = 6,014,535.93
  5. Step 5: Solve for x
    x = 6,014,535.93/3,297.29
  6. Step 6: Final answer
    x = 1,824.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.