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Finding the Fourth Proportional to 2,414.73, 3,622.11 and 1,028.73

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Solution

The fourth proportional to 2,414.73, 3,622.11 and 1,028.73 is: 1,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.73 : 3,622.11 = 1,028.73 : x
  2. Step 2: Convert to fraction form
    2,414.73/3,622.11 = 1,028.73/x
  3. Step 3: Cross multiply
    2,414.73x = 3,622.11 × 1,028.73
  4. Step 4: Simplify right side
    2,414.73x = 3,726,173.22
  5. Step 5: Solve for x
    x = 3,726,173.22/2,414.73
  6. Step 6: Final answer
    x = 1,543.10

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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.