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Finding the Fourth Proportional to 2,753.10, 4,129.92 and 998.24

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Solution

The fourth proportional to 2,753.10, 4,129.92 and 998.24 is: 1,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.10 : 4,129.92 = 998.24 : x
  2. Step 2: Convert to fraction form
    2,753.10/4,129.92 = 998.24/x
  3. Step 3: Cross multiply
    2,753.10x = 4,129.92 × 998.24
  4. Step 4: Simplify right side
    2,753.10x = 4,122,630.69
  5. Step 5: Solve for x
    x = 4,122,630.69/2,753.10
  6. Step 6: Final answer
    x = 1,497.45

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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.