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Finding the Fourth Proportional to 2,197.92, 3,296.09 and 736.74

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Solution

The fourth proportional to 2,197.92, 3,296.09 and 736.74 is: 1,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.92 : 3,296.09 = 736.74 : x
  2. Step 2: Convert to fraction form
    2,197.92/3,296.09 = 736.74/x
  3. Step 3: Cross multiply
    2,197.92x = 3,296.09 × 736.74
  4. Step 4: Simplify right side
    2,197.92x = 2,428,363.19
  5. Step 5: Solve for x
    x = 2,428,363.19/2,197.92
  6. Step 6: Final answer
    x = 1,104.84

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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.