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Finding the Fourth Proportional to 2,469.42, 3,704.18 and 1,380.71

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Solution

The fourth proportional to 2,469.42, 3,704.18 and 1,380.71 is: 2,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.42 : 3,704.18 = 1,380.71 : x
  2. Step 2: Convert to fraction form
    2,469.42/3,704.18 = 1,380.71/x
  3. Step 3: Cross multiply
    2,469.42x = 3,704.18 × 1,380.71
  4. Step 4: Simplify right side
    2,469.42x = 5,114,400.72
  5. Step 5: Solve for x
    x = 5,114,400.72/2,469.42
  6. Step 6: Final answer
    x = 2,071.09

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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.