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Finding the Fourth Proportional to 3,096.49, 4,273.12 and 1,680.18

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Solution

The fourth proportional to 3,096.49, 4,273.12 and 1,680.18 is: 2,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.49 : 4,273.12 = 1,680.18 : x
  2. Step 2: Convert to fraction form
    3,096.49/4,273.12 = 1,680.18/x
  3. Step 3: Cross multiply
    3,096.49x = 4,273.12 × 1,680.18
  4. Step 4: Simplify right side
    3,096.49x = 7,179,620.87
  5. Step 5: Solve for x
    x = 7,179,620.87/3,096.49
  6. Step 6: Final answer
    x = 2,318.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.