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Finding the Fourth Proportional to 2,197.74, 3,297.96 and 1,992.69

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Solution

The fourth proportional to 2,197.74, 3,297.96 and 1,992.69 is: 2,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.74 : 3,297.96 = 1,992.69 : x
  2. Step 2: Convert to fraction form
    2,197.74/3,297.96 = 1,992.69/x
  3. Step 3: Cross multiply
    2,197.74x = 3,297.96 × 1,992.69
  4. Step 4: Simplify right side
    2,197.74x = 6,571,811.91
  5. Step 5: Solve for x
    x = 6,571,811.91/2,197.74
  6. Step 6: Final answer
    x = 2,990.26

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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.