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Finding the Fourth Proportional to 2,450.54, 3,680.54 and 2,099.94

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Solution

The fourth proportional to 2,450.54, 3,680.54 and 2,099.94 is: 3,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.54 : 3,680.54 = 2,099.94 : x
  2. Step 2: Convert to fraction form
    2,450.54/3,680.54 = 2,099.94/x
  3. Step 3: Cross multiply
    2,450.54x = 3,680.54 × 2,099.94
  4. Step 4: Simplify right side
    2,450.54x = 7,728,896.74
  5. Step 5: Solve for x
    x = 7,728,896.74/2,450.54
  6. Step 6: Final answer
    x = 3,153.96

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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.