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Finding the Fourth Proportional to 2,196.35, 3,294.52 and 552.88

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Solution

The fourth proportional to 2,196.35, 3,294.52 and 552.88 is: 829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.35 : 3,294.52 = 552.88 : x
  2. Step 2: Convert to fraction form
    2,196.35/3,294.52 = 552.88/x
  3. Step 3: Cross multiply
    2,196.35x = 3,294.52 × 552.88
  4. Step 4: Simplify right side
    2,196.35x = 1,821,480.06
  5. Step 5: Solve for x
    x = 1,821,480.06/2,196.35
  6. Step 6: Final answer
    x = 829.32

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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.