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Finding the Fourth Proportional to 2,196.28, 3,294.44 and 552.81

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Solution

The fourth proportional to 2,196.28, 3,294.44 and 552.81 is: 829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.28 : 3,294.44 = 552.81 : x
  2. Step 2: Convert to fraction form
    2,196.28/3,294.44 = 552.81/x
  3. Step 3: Cross multiply
    2,196.28x = 3,294.44 × 552.81
  4. Step 4: Simplify right side
    2,196.28x = 1,821,199.38
  5. Step 5: Solve for x
    x = 1,821,199.38/2,196.28
  6. Step 6: Final answer
    x = 829.22

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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.