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Finding the Fourth Proportional to 2,197.37, 3,296.54 and 736.49

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Solution

The fourth proportional to 2,197.37, 3,296.54 and 736.49 is: 1,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.37 : 3,296.54 = 736.49 : x
  2. Step 2: Convert to fraction form
    2,197.37/3,296.54 = 736.49/x
  3. Step 3: Cross multiply
    2,197.37x = 3,296.54 × 736.49
  4. Step 4: Simplify right side
    2,197.37x = 2,427,852.26
  5. Step 5: Solve for x
    x = 2,427,852.26/2,197.37
  6. Step 6: Final answer
    x = 1,104.89

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1.5x scale

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.