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Finding the Fourth Proportional to 2,096.34, 3,144.60 and 709.82

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Solution

The fourth proportional to 2,096.34, 3,144.60 and 709.82 is: 1,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.34 : 3,144.60 = 709.82 : x
  2. Step 2: Convert to fraction form
    2,096.34/3,144.60 = 709.82/x
  3. Step 3: Cross multiply
    2,096.34x = 3,144.60 × 709.82
  4. Step 4: Simplify right side
    2,096.34x = 2,232,099.97
  5. Step 5: Solve for x
    x = 2,232,099.97/2,096.34
  6. Step 6: Final answer
    x = 1,064.76

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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.