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Finding the Fourth Proportional to 2,638.24, 3,640.80 and 1,519

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Solution

The fourth proportional to 2,638.24, 3,640.80 and 1,519 is: 2,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.24 : 3,640.80 = 1,519 : x
  2. Step 2: Convert to fraction form
    2,638.24/3,640.80 = 1,519/x
  3. Step 3: Cross multiply
    2,638.24x = 3,640.80 × 1,519
  4. Step 4: Simplify right side
    2,638.24x = 5,530,375.20
  5. Step 5: Solve for x
    x = 5,530,375.20/2,638.24
  6. Step 6: Final answer
    x = 2,096.24

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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.