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Finding the Fourth Proportional to 2,196.44, 3,294.64 and 552.95

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Solution

The fourth proportional to 2,196.44, 3,294.64 and 552.95 is: 829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.44 : 3,294.64 = 552.95 : x
  2. Step 2: Convert to fraction form
    2,196.44/3,294.64 = 552.95/x
  3. Step 3: Cross multiply
    2,196.44x = 3,294.64 × 552.95
  4. Step 4: Simplify right side
    2,196.44x = 1,821,768.42
  5. Step 5: Solve for x
    x = 1,821,768.42/2,196.44
  6. Step 6: Final answer
    x = 829.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.