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Finding the Fourth Proportional to 2,227.66, 3,074.09 and 1,232.91

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Solution

The fourth proportional to 2,227.66, 3,074.09 and 1,232.91 is: 1,701.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.66 : 3,074.09 = 1,232.91 : x
  2. Step 2: Convert to fraction form
    2,227.66/3,074.09 = 1,232.91/x
  3. Step 3: Cross multiply
    2,227.66x = 3,074.09 × 1,232.91
  4. Step 4: Simplify right side
    2,227.66x = 3,790,070.14
  5. Step 5: Solve for x
    x = 3,790,070.14/2,227.66
  6. Step 6: Final answer
    x = 1,701.37

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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.