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Finding the Fourth Proportional to 2,183.41, 3,275.79 and 623.49

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Solution

The fourth proportional to 2,183.41, 3,275.79 and 623.49 is: 935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.41 : 3,275.79 = 623.49 : x
  2. Step 2: Convert to fraction form
    2,183.41/3,275.79 = 623.49/x
  3. Step 3: Cross multiply
    2,183.41x = 3,275.79 × 623.49
  4. Step 4: Simplify right side
    2,183.41x = 2,042,422.31
  5. Step 5: Solve for x
    x = 2,042,422.31/2,183.41
  6. Step 6: Final answer
    x = 935.43

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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.