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Finding the Fourth Proportional to 1,967.27, 2,715.81 and 1,380.92

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Solution

The fourth proportional to 1,967.27, 2,715.81 and 1,380.92 is: 1,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.27 : 2,715.81 = 1,380.92 : x
  2. Step 2: Convert to fraction form
    1,967.27/2,715.81 = 1,380.92/x
  3. Step 3: Cross multiply
    1,967.27x = 2,715.81 × 1,380.92
  4. Step 4: Simplify right side
    1,967.27x = 3,750,316.35
  5. Step 5: Solve for x
    x = 3,750,316.35/1,967.27
  6. Step 6: Final answer
    x = 1,906.36

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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.