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Finding the Fourth Proportional to 2,443.50, 3,372 and 1,324.43

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Solution

The fourth proportional to 2,443.50, 3,372 and 1,324.43 is: 1,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.50 : 3,372 = 1,324.43 : x
  2. Step 2: Convert to fraction form
    2,443.50/3,372 = 1,324.43/x
  3. Step 3: Cross multiply
    2,443.50x = 3,372 × 1,324.43
  4. Step 4: Simplify right side
    2,443.50x = 4,465,961.10
  5. Step 5: Solve for x
    x = 4,465,961.10/2,443.50
  6. Step 6: Final answer
    x = 1,827.69

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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.