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Finding the Fourth Proportional to 2,314.68, 3,474.46 and 2,262.44

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Solution

The fourth proportional to 2,314.68, 3,474.46 and 2,262.44 is: 3,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.68 : 3,474.46 = 2,262.44 : x
  2. Step 2: Convert to fraction form
    2,314.68/3,474.46 = 2,262.44/x
  3. Step 3: Cross multiply
    2,314.68x = 3,474.46 × 2,262.44
  4. Step 4: Simplify right side
    2,314.68x = 7,860,757.28
  5. Step 5: Solve for x
    x = 7,860,757.28/2,314.68
  6. Step 6: Final answer
    x = 3,396.04

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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.