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Finding the Fourth Proportional to 3,183.70, 4,393.26 and 1,857.24

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Solution

The fourth proportional to 3,183.70, 4,393.26 and 1,857.24 is: 2,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.70 : 4,393.26 = 1,857.24 : x
  2. Step 2: Convert to fraction form
    3,183.70/4,393.26 = 1,857.24/x
  3. Step 3: Cross multiply
    3,183.70x = 4,393.26 × 1,857.24
  4. Step 4: Simplify right side
    3,183.70x = 8,159,316.24
  5. Step 5: Solve for x
    x = 8,159,316.24/3,183.70
  6. Step 6: Final answer
    x = 2,562.84

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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.