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Finding the Fourth Proportional to 2,183.41, 3,013.11 and 1,188.69

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Solution

The fourth proportional to 2,183.41, 3,013.11 and 1,188.69 is: 1,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.41 : 3,013.11 = 1,188.69 : x
  2. Step 2: Convert to fraction form
    2,183.41/3,013.11 = 1,188.69/x
  3. Step 3: Cross multiply
    2,183.41x = 3,013.11 × 1,188.69
  4. Step 4: Simplify right side
    2,183.41x = 3,581,642.43
  5. Step 5: Solve for x
    x = 3,581,642.43/2,183.41
  6. Step 6: Final answer
    x = 1,640.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.