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Finding the Fourth Proportional to 2,065.92, 3,096.96 and 1,414.56

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Solution

The fourth proportional to 2,065.92, 3,096.96 and 1,414.56 is: 2,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.92 : 3,096.96 = 1,414.56 : x
  2. Step 2: Convert to fraction form
    2,065.92/3,096.96 = 1,414.56/x
  3. Step 3: Cross multiply
    2,065.92x = 3,096.96 × 1,414.56
  4. Step 4: Simplify right side
    2,065.92x = 4,380,835.74
  5. Step 5: Solve for x
    x = 4,380,835.74/2,065.92
  6. Step 6: Final answer
    x = 2,120.53

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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.