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Finding the Fourth Proportional to 2,940.48, 4,057.84 and 1,614.20

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Solution

The fourth proportional to 2,940.48, 4,057.84 and 1,614.20 is: 2,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.48 : 4,057.84 = 1,614.20 : x
  2. Step 2: Convert to fraction form
    2,940.48/4,057.84 = 1,614.20/x
  3. Step 3: Cross multiply
    2,940.48x = 4,057.84 × 1,614.20
  4. Step 4: Simplify right side
    2,940.48x = 6,550,165.33
  5. Step 5: Solve for x
    x = 6,550,165.33/2,940.48
  6. Step 6: Final answer
    x = 2,227.58

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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.