Home / 2,198.16-3,298.56-811.26

Finding the Fourth Proportional to 2,198.16, 3,298.56 and 811.26

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Solution

The fourth proportional to 2,198.16, 3,298.56 and 811.26 is: 1,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.16 : 3,298.56 = 811.26 : x
  2. Step 2: Convert to fraction form
    2,198.16/3,298.56 = 811.26/x
  3. Step 3: Cross multiply
    2,198.16x = 3,298.56 × 811.26
  4. Step 4: Simplify right side
    2,198.16x = 2,675,989.79
  5. Step 5: Solve for x
    x = 2,675,989.79/2,198.16
  6. Step 6: Final answer
    x = 1,217.38

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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.