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Finding the Fourth Proportional to 2,257.97, 3,116.12 and 1,263.38

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Solution

The fourth proportional to 2,257.97, 3,116.12 and 1,263.38 is: 1,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.97 : 3,116.12 = 1,263.38 : x
  2. Step 2: Convert to fraction form
    2,257.97/3,116.12 = 1,263.38/x
  3. Step 3: Cross multiply
    2,257.97x = 3,116.12 × 1,263.38
  4. Step 4: Simplify right side
    2,257.97x = 3,936,821.79
  5. Step 5: Solve for x
    x = 3,936,821.79/2,257.97
  6. Step 6: Final answer
    x = 1,743.53

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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.