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Finding the Fourth Proportional to 2,227.81, 3,342.47 and 996.07

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Solution

The fourth proportional to 2,227.81, 3,342.47 and 996.07 is: 1,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.81 : 3,342.47 = 996.07 : x
  2. Step 2: Convert to fraction form
    2,227.81/3,342.47 = 996.07/x
  3. Step 3: Cross multiply
    2,227.81x = 3,342.47 × 996.07
  4. Step 4: Simplify right side
    2,227.81x = 3,329,334.09
  5. Step 5: Solve for x
    x = 3,329,334.09/2,227.81
  6. Step 6: Final answer
    x = 1,494.44

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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.