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Finding the Fourth Proportional to 2,183.57, 3,013.40 and 1,188.95

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Solution

The fourth proportional to 2,183.57, 3,013.40 and 1,188.95 is: 1,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.57 : 3,013.40 = 1,188.95 : x
  2. Step 2: Convert to fraction form
    2,183.57/3,013.40 = 1,188.95/x
  3. Step 3: Cross multiply
    2,183.57x = 3,013.40 × 1,188.95
  4. Step 4: Simplify right side
    2,183.57x = 3,582,769.84
  5. Step 5: Solve for x
    x = 3,582,769.84/2,183.57
  6. Step 6: Final answer
    x = 1,640.78

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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.