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Finding the Fourth Proportional to 2,183.54, 3,013.24 and 1,188.81

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Solution

The fourth proportional to 2,183.54, 3,013.24 and 1,188.81 is: 1,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.54 : 3,013.24 = 1,188.81 : x
  2. Step 2: Convert to fraction form
    2,183.54/3,013.24 = 1,188.81/x
  3. Step 3: Cross multiply
    2,183.54x = 3,013.24 × 1,188.81
  4. Step 4: Simplify right side
    2,183.54x = 3,582,154.78
  5. Step 5: Solve for x
    x = 3,582,154.78/2,183.54
  6. Step 6: Final answer
    x = 1,640.53

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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.