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Finding the Fourth Proportional to 2,197.33, 3,296.30 and 812.61

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Solution

The fourth proportional to 2,197.33, 3,296.30 and 812.61 is: 1,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.33 : 3,296.30 = 812.61 : x
  2. Step 2: Convert to fraction form
    2,197.33/3,296.30 = 812.61/x
  3. Step 3: Cross multiply
    2,197.33x = 3,296.30 × 812.61
  4. Step 4: Simplify right side
    2,197.33x = 2,678,606.34
  5. Step 5: Solve for x
    x = 2,678,606.34/2,197.33
  6. Step 6: Final answer
    x = 1,219.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.