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Finding the Fourth Proportional to 3,183.70, 4,774.17 and 2,453.80

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Solution

The fourth proportional to 3,183.70, 4,774.17 and 2,453.80 is: 3,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.70 : 4,774.17 = 2,453.80 : x
  2. Step 2: Convert to fraction form
    3,183.70/4,774.17 = 2,453.80/x
  3. Step 3: Cross multiply
    3,183.70x = 4,774.17 × 2,453.80
  4. Step 4: Simplify right side
    3,183.70x = 11,714,858.35
  5. Step 5: Solve for x
    x = 11,714,858.35/3,183.70
  6. Step 6: Final answer
    x = 3,679.64

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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.