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Finding the Fourth Proportional to 2,183.56, 3,013.31 and 1,188.84

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Solution

The fourth proportional to 2,183.56, 3,013.31 and 1,188.84 is: 1,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.56 : 3,013.31 = 1,188.84 : x
  2. Step 2: Convert to fraction form
    2,183.56/3,013.31 = 1,188.84/x
  3. Step 3: Cross multiply
    2,183.56x = 3,013.31 × 1,188.84
  4. Step 4: Simplify right side
    2,183.56x = 3,582,346.69
  5. Step 5: Solve for x
    x = 3,582,346.69/2,183.56
  6. Step 6: Final answer
    x = 1,640.60

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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.