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Finding the Fourth Proportional to 4,781.20, 7,171.26 and 1,318

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Solution

The fourth proportional to 4,781.20, 7,171.26 and 1,318 is: 1,976.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.20 : 7,171.26 = 1,318 : x
  2. Step 2: Convert to fraction form
    4,781.20/7,171.26 = 1,318/x
  3. Step 3: Cross multiply
    4,781.20x = 7,171.26 × 1,318
  4. Step 4: Simplify right side
    4,781.20x = 9,451,720.68
  5. Step 5: Solve for x
    x = 9,451,720.68/4,781.20
  6. Step 6: Final answer
    x = 1,976.85

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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.