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Finding the Fourth Proportional to 2,096.62, 3,120.96 and 2,065.48

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Solution

The fourth proportional to 2,096.62, 3,120.96 and 2,065.48 is: 3,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.62 : 3,120.96 = 2,065.48 : x
  2. Step 2: Convert to fraction form
    2,096.62/3,120.96 = 2,065.48/x
  3. Step 3: Cross multiply
    2,096.62x = 3,120.96 × 2,065.48
  4. Step 4: Simplify right side
    2,096.62x = 6,446,280.46
  5. Step 5: Solve for x
    x = 6,446,280.46/2,096.62
  6. Step 6: Final answer
    x = 3,074.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.