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Finding the Fourth Proportional to 2,196.86, 3,293.30 and 809.25

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Solution

The fourth proportional to 2,196.86, 3,293.30 and 809.25 is: 1,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.86 : 3,293.30 = 809.25 : x
  2. Step 2: Convert to fraction form
    2,196.86/3,293.30 = 809.25/x
  3. Step 3: Cross multiply
    2,196.86x = 3,293.30 × 809.25
  4. Step 4: Simplify right side
    2,196.86x = 2,665,098.98
  5. Step 5: Solve for x
    x = 2,665,098.98/2,196.86
  6. Step 6: Final answer
    x = 1,213.14

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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.