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Finding the Fourth Proportional to 2,197.68, 3,296.52 and 830.64

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Solution

The fourth proportional to 2,197.68, 3,296.52 and 830.64 is: 1,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.68 : 3,296.52 = 830.64 : x
  2. Step 2: Convert to fraction form
    2,197.68/3,296.52 = 830.64/x
  3. Step 3: Cross multiply
    2,197.68x = 3,296.52 × 830.64
  4. Step 4: Simplify right side
    2,197.68x = 2,738,221.37
  5. Step 5: Solve for x
    x = 2,738,221.37/2,197.68
  6. Step 6: Final answer
    x = 1,245.96

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Similar ratio
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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.