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Finding the Fourth Proportional to 2,247.62, 3,371.42 and 786.43

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Solution

The fourth proportional to 2,247.62, 3,371.42 and 786.43 is: 1,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.62 : 3,371.42 = 786.43 : x
  2. Step 2: Convert to fraction form
    2,247.62/3,371.42 = 786.43/x
  3. Step 3: Cross multiply
    2,247.62x = 3,371.42 × 786.43
  4. Step 4: Simplify right side
    2,247.62x = 2,651,373.05
  5. Step 5: Solve for x
    x = 2,651,373.05/2,247.62
  6. Step 6: Final answer
    x = 1,179.64

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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.