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Finding the Fourth Proportional to 2,196.21, 3,294.64 and 809.39

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Solution

The fourth proportional to 2,196.21, 3,294.64 and 809.39 is: 1,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.21 : 3,294.64 = 809.39 : x
  2. Step 2: Convert to fraction form
    2,196.21/3,294.64 = 809.39/x
  3. Step 3: Cross multiply
    2,196.21x = 3,294.64 × 809.39
  4. Step 4: Simplify right side
    2,196.21x = 2,666,657.92
  5. Step 5: Solve for x
    x = 2,666,657.92/2,196.21
  6. Step 6: Final answer
    x = 1,214.21

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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.