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Finding the Fourth Proportional to 2,227.46, 3,340.21 and 1,057.80

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Solution

The fourth proportional to 2,227.46, 3,340.21 and 1,057.80 is: 1,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.46 : 3,340.21 = 1,057.80 : x
  2. Step 2: Convert to fraction form
    2,227.46/3,340.21 = 1,057.80/x
  3. Step 3: Cross multiply
    2,227.46x = 3,340.21 × 1,057.80
  4. Step 4: Simplify right side
    2,227.46x = 3,533,274.14
  5. Step 5: Solve for x
    x = 3,533,274.14/2,227.46
  6. Step 6: Final answer
    x = 1,586.23

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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.