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Finding the Fourth Proportional to 2,096.76, 3,144.42 and 709.78

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Solution

The fourth proportional to 2,096.76, 3,144.42 and 709.78 is: 1,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.76 : 3,144.42 = 709.78 : x
  2. Step 2: Convert to fraction form
    2,096.76/3,144.42 = 709.78/x
  3. Step 3: Cross multiply
    2,096.76x = 3,144.42 × 709.78
  4. Step 4: Simplify right side
    2,096.76x = 2,231,846.43
  5. Step 5: Solve for x
    x = 2,231,846.43/2,096.76
  6. Step 6: Final answer
    x = 1,064.43

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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.