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Finding the Fourth Proportional to 1,380.84, 2,057.27 and 1,367.27

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Solution

The fourth proportional to 1,380.84, 2,057.27 and 1,367.27 is: 2,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.84 : 2,057.27 = 1,367.27 : x
  2. Step 2: Convert to fraction form
    1,380.84/2,057.27 = 1,367.27/x
  3. Step 3: Cross multiply
    1,380.84x = 2,057.27 × 1,367.27
  4. Step 4: Simplify right side
    1,380.84x = 2,812,843.55
  5. Step 5: Solve for x
    x = 2,812,843.55/1,380.84
  6. Step 6: Final answer
    x = 2,037.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.