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Finding the Fourth Proportional to 3,183.34, 4,392.94 and 1,786.09

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Solution

The fourth proportional to 3,183.34, 4,392.94 and 1,786.09 is: 2,464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.34 : 4,392.94 = 1,786.09 : x
  2. Step 2: Convert to fraction form
    3,183.34/4,392.94 = 1,786.09/x
  3. Step 3: Cross multiply
    3,183.34x = 4,392.94 × 1,786.09
  4. Step 4: Simplify right side
    3,183.34x = 7,846,186.20
  5. Step 5: Solve for x
    x = 7,846,186.20/3,183.34
  6. Step 6: Final answer
    x = 2,464.77

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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.