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Finding the Fourth Proportional to 2,197.52, 3,297.57 and 811.82

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Solution

The fourth proportional to 2,197.52, 3,297.57 and 811.82 is: 1,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.52 : 3,297.57 = 811.82 : x
  2. Step 2: Convert to fraction form
    2,197.52/3,297.57 = 811.82/x
  3. Step 3: Cross multiply
    2,197.52x = 3,297.57 × 811.82
  4. Step 4: Simplify right side
    2,197.52x = 2,677,016.79
  5. Step 5: Solve for x
    x = 2,677,016.79/2,197.52
  6. Step 6: Final answer
    x = 1,218.20

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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.