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Finding the Fourth Proportional to 2,196.28, 3,294.08 and 809.42

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Solution

The fourth proportional to 2,196.28, 3,294.08 and 809.42 is: 1,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.28 : 3,294.08 = 809.42 : x
  2. Step 2: Convert to fraction form
    2,196.28/3,294.08 = 809.42/x
  3. Step 3: Cross multiply
    2,196.28x = 3,294.08 × 809.42
  4. Step 4: Simplify right side
    2,196.28x = 2,666,290.19
  5. Step 5: Solve for x
    x = 2,666,290.19/2,196.28
  6. Step 6: Final answer
    x = 1,214.01

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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.