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Finding the Fourth Proportional to 2,414.09, 3,620.87 and 1,639.07

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Solution

The fourth proportional to 2,414.09, 3,620.87 and 1,639.07 is: 2,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.09 : 3,620.87 = 1,639.07 : x
  2. Step 2: Convert to fraction form
    2,414.09/3,620.87 = 1,639.07/x
  3. Step 3: Cross multiply
    2,414.09x = 3,620.87 × 1,639.07
  4. Step 4: Simplify right side
    2,414.09x = 5,934,851.20
  5. Step 5: Solve for x
    x = 5,934,851.20/2,414.09
  6. Step 6: Final answer
    x = 2,458.42

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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.