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Finding the Fourth Proportional to 2,196.72, 3,295.49 and 1,100.52

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Solution

The fourth proportional to 2,196.72, 3,295.49 and 1,100.52 is: 1,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.72 : 3,295.49 = 1,100.52 : x
  2. Step 2: Convert to fraction form
    2,196.72/3,295.49 = 1,100.52/x
  3. Step 3: Cross multiply
    2,196.72x = 3,295.49 × 1,100.52
  4. Step 4: Simplify right side
    2,196.72x = 3,626,747.15
  5. Step 5: Solve for x
    x = 3,626,747.15/2,196.72
  6. Step 6: Final answer
    x = 1,650.98

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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.