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Finding the Fourth Proportional to 2,198.37, 3,295.53 and 811.38

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Solution

The fourth proportional to 2,198.37, 3,295.53 and 811.38 is: 1,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.37 : 3,295.53 = 811.38 : x
  2. Step 2: Convert to fraction form
    2,198.37/3,295.53 = 811.38/x
  3. Step 3: Cross multiply
    2,198.37x = 3,295.53 × 811.38
  4. Step 4: Simplify right side
    2,198.37x = 2,673,927.13
  5. Step 5: Solve for x
    x = 2,673,927.13/2,198.37
  6. Step 6: Final answer
    x = 1,216.32

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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.