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Finding the Fourth Proportional to 2,940.72, 4,057.94 and 1,614.42

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Solution

The fourth proportional to 2,940.72, 4,057.94 and 1,614.42 is: 2,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.72 : 4,057.94 = 1,614.42 : x
  2. Step 2: Convert to fraction form
    2,940.72/4,057.94 = 1,614.42/x
  3. Step 3: Cross multiply
    2,940.72x = 4,057.94 × 1,614.42
  4. Step 4: Simplify right side
    2,940.72x = 6,551,219.49
  5. Step 5: Solve for x
    x = 6,551,219.49/2,940.72
  6. Step 6: Final answer
    x = 2,227.76

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Why These Related Problems?

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