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Finding the Fourth Proportional to 2,196.18, 3,294.09 and 809.46

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Solution

The fourth proportional to 2,196.18, 3,294.09 and 809.46 is: 1,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.18 : 3,294.09 = 809.46 : x
  2. Step 2: Convert to fraction form
    2,196.18/3,294.09 = 809.46/x
  3. Step 3: Cross multiply
    2,196.18x = 3,294.09 × 809.46
  4. Step 4: Simplify right side
    2,196.18x = 2,666,434.09
  5. Step 5: Solve for x
    x = 2,666,434.09/2,196.18
  6. Step 6: Final answer
    x = 1,214.12

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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.