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Finding the Fourth Proportional to 2,183.49, 3,275.39 and 623.62

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Solution

The fourth proportional to 2,183.49, 3,275.39 and 623.62 is: 935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.49 : 3,275.39 = 623.62 : x
  2. Step 2: Convert to fraction form
    2,183.49/3,275.39 = 623.62/x
  3. Step 3: Cross multiply
    2,183.49x = 3,275.39 × 623.62
  4. Step 4: Simplify right side
    2,183.49x = 2,042,608.46
  5. Step 5: Solve for x
    x = 2,042,608.46/2,183.49
  6. Step 6: Final answer
    x = 935.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.