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Finding the Fourth Proportional to 2,227.84, 3,074.22 and 1,233.11

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Solution

The fourth proportional to 2,227.84, 3,074.22 and 1,233.11 is: 1,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.84 : 3,074.22 = 1,233.11 : x
  2. Step 2: Convert to fraction form
    2,227.84/3,074.22 = 1,233.11/x
  3. Step 3: Cross multiply
    2,227.84x = 3,074.22 × 1,233.11
  4. Step 4: Simplify right side
    2,227.84x = 3,790,859.11
  5. Step 5: Solve for x
    x = 3,790,859.11/2,227.84
  6. Step 6: Final answer
    x = 1,701.59

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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.