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Finding the Fourth Proportional to 2,183.57, 3,004.13 and 1,806.29

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Solution

The fourth proportional to 2,183.57, 3,004.13 and 1,806.29 is: 2,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.57 : 3,004.13 = 1,806.29 : x
  2. Step 2: Convert to fraction form
    2,183.57/3,004.13 = 1,806.29/x
  3. Step 3: Cross multiply
    2,183.57x = 3,004.13 × 1,806.29
  4. Step 4: Simplify right side
    2,183.57x = 5,426,319.47
  5. Step 5: Solve for x
    x = 5,426,319.47/2,183.57
  6. Step 6: Final answer
    x = 2,485.07

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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.