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Finding the Fourth Proportional to 3,183.94, 4,393.78 and 1,767.63

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Solution

The fourth proportional to 3,183.94, 4,393.78 and 1,767.63 is: 2,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.94 : 4,393.78 = 1,767.63 : x
  2. Step 2: Convert to fraction form
    3,183.94/4,393.78 = 1,767.63/x
  3. Step 3: Cross multiply
    3,183.94x = 4,393.78 × 1,767.63
  4. Step 4: Simplify right side
    3,183.94x = 7,766,577.34
  5. Step 5: Solve for x
    x = 7,766,577.34/3,183.94
  6. Step 6: Final answer
    x = 2,439.30

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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.