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Finding the Fourth Proportional to 2,414.47, 3,622.74 and 1,028.11

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Solution

The fourth proportional to 2,414.47, 3,622.74 and 1,028.11 is: 1,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.47 : 3,622.74 = 1,028.11 : x
  2. Step 2: Convert to fraction form
    2,414.47/3,622.74 = 1,028.11/x
  3. Step 3: Cross multiply
    2,414.47x = 3,622.74 × 1,028.11
  4. Step 4: Simplify right side
    2,414.47x = 3,724,575.22
  5. Step 5: Solve for x
    x = 3,724,575.22/2,414.47
  6. Step 6: Final answer
    x = 1,542.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.