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Finding the Fourth Proportional to 2,729.44, 4,094.92 and 998.24

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Solution

The fourth proportional to 2,729.44, 4,094.92 and 998.24 is: 1,497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.44 : 4,094.92 = 998.24 : x
  2. Step 2: Convert to fraction form
    2,729.44/4,094.92 = 998.24/x
  3. Step 3: Cross multiply
    2,729.44x = 4,094.92 × 998.24
  4. Step 4: Simplify right side
    2,729.44x = 4,087,712.94
  5. Step 5: Solve for x
    x = 4,087,712.94/2,729.44
  6. Step 6: Final answer
    x = 1,497.64

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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.