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Finding the Fourth Proportional to 3,270.43, 4,906.47 and 1,516.69

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Solution

The fourth proportional to 3,270.43, 4,906.47 and 1,516.69 is: 2,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.43 : 4,906.47 = 1,516.69 : x
  2. Step 2: Convert to fraction form
    3,270.43/4,906.47 = 1,516.69/x
  3. Step 3: Cross multiply
    3,270.43x = 4,906.47 × 1,516.69
  4. Step 4: Simplify right side
    3,270.43x = 7,441,593.98
  5. Step 5: Solve for x
    x = 7,441,593.98/3,270.43
  6. Step 6: Final answer
    x = 2,275.42

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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.