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Finding the Fourth Proportional to 2,414.53, 3,621.67 and 1,414.44

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Solution

The fourth proportional to 2,414.53, 3,621.67 and 1,414.44 is: 2,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.53 : 3,621.67 = 1,414.44 : x
  2. Step 2: Convert to fraction form
    2,414.53/3,621.67 = 1,414.44/x
  3. Step 3: Cross multiply
    2,414.53x = 3,621.67 × 1,414.44
  4. Step 4: Simplify right side
    2,414.53x = 5,122,634.91
  5. Step 5: Solve for x
    x = 5,122,634.91/2,414.53
  6. Step 6: Final answer
    x = 2,121.59

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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.