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Finding the Fourth Proportional to 2,198.63, 3,297.38 and 811.21

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Solution

The fourth proportional to 2,198.63, 3,297.38 and 811.21 is: 1,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.63 : 3,297.38 = 811.21 : x
  2. Step 2: Convert to fraction form
    2,198.63/3,297.38 = 811.21/x
  3. Step 3: Cross multiply
    2,198.63x = 3,297.38 × 811.21
  4. Step 4: Simplify right side
    2,198.63x = 2,674,851.14
  5. Step 5: Solve for x
    x = 2,674,851.14/2,198.63
  6. Step 6: Final answer
    x = 1,216.60

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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.