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Finding the Fourth Proportional to 2,196.82, 3,294.16 and 810.81

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Solution

The fourth proportional to 2,196.82, 3,294.16 and 810.81 is: 1,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.82 : 3,294.16 = 810.81 : x
  2. Step 2: Convert to fraction form
    2,196.82/3,294.16 = 810.81/x
  3. Step 3: Cross multiply
    2,196.82x = 3,294.16 × 810.81
  4. Step 4: Simplify right side
    2,196.82x = 2,670,928.05
  5. Step 5: Solve for x
    x = 2,670,928.05/2,196.82
  6. Step 6: Final answer
    x = 1,215.82

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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.