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Finding the Fourth Proportional to 2,497.98, 3,744.32 and 936.96

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Solution

The fourth proportional to 2,497.98, 3,744.32 and 936.96 is: 1,404.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.98 : 3,744.32 = 936.96 : x
  2. Step 2: Convert to fraction form
    2,497.98/3,744.32 = 936.96/x
  3. Step 3: Cross multiply
    2,497.98x = 3,744.32 × 936.96
  4. Step 4: Simplify right side
    2,497.98x = 3,508,273.38
  5. Step 5: Solve for x
    x = 3,508,273.38/2,497.98
  6. Step 6: Final answer
    x = 1,404.44

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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.