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Finding the Fourth Proportional to 2,940.46, 4,057.86 and 1,614.16

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Solution

The fourth proportional to 2,940.46, 4,057.86 and 1,614.16 is: 2,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.46 : 4,057.86 = 1,614.16 : x
  2. Step 2: Convert to fraction form
    2,940.46/4,057.86 = 1,614.16/x
  3. Step 3: Cross multiply
    2,940.46x = 4,057.86 × 1,614.16
  4. Step 4: Simplify right side
    2,940.46x = 6,550,035.30
  5. Step 5: Solve for x
    x = 6,550,035.30/2,940.46
  6. Step 6: Final answer
    x = 2,227.55

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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.