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Finding the Fourth Proportional to 2,065.62, 3,096.79 and 1,414.38

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Solution

The fourth proportional to 2,065.62, 3,096.79 and 1,414.38 is: 2,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.62 : 3,096.79 = 1,414.38 : x
  2. Step 2: Convert to fraction form
    2,065.62/3,096.79 = 1,414.38/x
  3. Step 3: Cross multiply
    2,065.62x = 3,096.79 × 1,414.38
  4. Step 4: Simplify right side
    2,065.62x = 4,380,037.84
  5. Step 5: Solve for x
    x = 4,380,037.84/2,065.62
  6. Step 6: Final answer
    x = 2,120.45

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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.