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Finding the Fourth Proportional to 2,197.66, 3,296.58 and 736.96

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Solution

The fourth proportional to 2,197.66, 3,296.58 and 736.96 is: 1,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.66 : 3,296.58 = 736.96 : x
  2. Step 2: Convert to fraction form
    2,197.66/3,296.58 = 736.96/x
  3. Step 3: Cross multiply
    2,197.66x = 3,296.58 × 736.96
  4. Step 4: Simplify right side
    2,197.66x = 2,429,447.60
  5. Step 5: Solve for x
    x = 2,429,447.60/2,197.66
  6. Step 6: Final answer
    x = 1,105.47

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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.