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Finding the Fourth Proportional to 2,197.44, 3,296.13 and 553.95

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Solution

The fourth proportional to 2,197.44, 3,296.13 and 553.95 is: 830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.44 : 3,296.13 = 553.95 : x
  2. Step 2: Convert to fraction form
    2,197.44/3,296.13 = 553.95/x
  3. Step 3: Cross multiply
    2,197.44x = 3,296.13 × 553.95
  4. Step 4: Simplify right side
    2,197.44x = 1,825,891.21
  5. Step 5: Solve for x
    x = 1,825,891.21/2,197.44
  6. Step 6: Final answer
    x = 830.92

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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.