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Finding the Fourth Proportional to 3,096.65, 4,273.36 and 1,680.33

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Solution

The fourth proportional to 3,096.65, 4,273.36 and 1,680.33 is: 2,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.65 : 4,273.36 = 1,680.33 : x
  2. Step 2: Convert to fraction form
    3,096.65/4,273.36 = 1,680.33/x
  3. Step 3: Cross multiply
    3,096.65x = 4,273.36 × 1,680.33
  4. Step 4: Simplify right side
    3,096.65x = 7,180,641.08
  5. Step 5: Solve for x
    x = 7,180,641.08/3,096.65
  6. Step 6: Final answer
    x = 2,318.85

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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.