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Finding the Fourth Proportional to 2,196.39, 3,294.46 and 552.93

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Solution

The fourth proportional to 2,196.39, 3,294.46 and 552.93 is: 829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.39 : 3,294.46 = 552.93 : x
  2. Step 2: Convert to fraction form
    2,196.39/3,294.46 = 552.93/x
  3. Step 3: Cross multiply
    2,196.39x = 3,294.46 × 552.93
  4. Step 4: Simplify right side
    2,196.39x = 1,821,606.46
  5. Step 5: Solve for x
    x = 1,821,606.46/2,196.39
  6. Step 6: Final answer
    x = 829.37

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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.