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Finding the Fourth Proportional to 3,183.57, 4,392.09 and 2,002.59

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Solution

The fourth proportional to 3,183.57, 4,392.09 and 2,002.59 is: 2,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.57 : 4,392.09 = 2,002.59 : x
  2. Step 2: Convert to fraction form
    3,183.57/4,392.09 = 2,002.59/x
  3. Step 3: Cross multiply
    3,183.57x = 4,392.09 × 2,002.59
  4. Step 4: Simplify right side
    3,183.57x = 8,795,555.51
  5. Step 5: Solve for x
    x = 8,795,555.51/3,183.57
  6. Step 6: Final answer
    x = 2,762.80

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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.