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Finding the Fourth Proportional to 2,119, 3,177.34 and 731.56

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Solution

The fourth proportional to 2,119, 3,177.34 and 731.56 is: 1,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119 : 3,177.34 = 731.56 : x
  2. Step 2: Convert to fraction form
    2,119/3,177.34 = 731.56/x
  3. Step 3: Cross multiply
    2,119x = 3,177.34 × 731.56
  4. Step 4: Simplify right side
    2,119x = 2,324,414.85
  5. Step 5: Solve for x
    x = 2,324,414.85/2,119
  6. Step 6: Final answer
    x = 1,096.94

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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.