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Finding the Fourth Proportional to 2,196.55, 3,294.78 and 553.11

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Solution

The fourth proportional to 2,196.55, 3,294.78 and 553.11 is: 829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.55 : 3,294.78 = 553.11 : x
  2. Step 2: Convert to fraction form
    2,196.55/3,294.78 = 553.11/x
  3. Step 3: Cross multiply
    2,196.55x = 3,294.78 × 553.11
  4. Step 4: Simplify right side
    2,196.55x = 1,822,375.77
  5. Step 5: Solve for x
    x = 1,822,375.77/2,196.55
  6. Step 6: Final answer
    x = 829.65

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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.