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Finding the Fourth Proportional to 2,196.69, 3,031.38 and 1,201.97

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Solution

The fourth proportional to 2,196.69, 3,031.38 and 1,201.97 is: 1,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.69 : 3,031.38 = 1,201.97 : x
  2. Step 2: Convert to fraction form
    2,196.69/3,031.38 = 1,201.97/x
  3. Step 3: Cross multiply
    2,196.69x = 3,031.38 × 1,201.97
  4. Step 4: Simplify right side
    2,196.69x = 3,643,612.66
  5. Step 5: Solve for x
    x = 3,643,612.66/2,196.69
  6. Step 6: Final answer
    x = 1,658.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.