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Finding the Fourth Proportional to 2,195.93, 3,293.82 and 552.49

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Solution

The fourth proportional to 2,195.93, 3,293.82 and 552.49 is: 828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.93 : 3,293.82 = 552.49 : x
  2. Step 2: Convert to fraction form
    2,195.93/3,293.82 = 552.49/x
  3. Step 3: Cross multiply
    2,195.93x = 3,293.82 × 552.49
  4. Step 4: Simplify right side
    2,195.93x = 1,819,794.38
  5. Step 5: Solve for x
    x = 1,819,794.38/2,195.93
  6. Step 6: Final answer
    x = 828.71

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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.