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Finding the Fourth Proportional to 2,469.43, 3,704.88 and 738.07

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Solution

The fourth proportional to 2,469.43, 3,704.88 and 738.07 is: 1,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.43 : 3,704.88 = 738.07 : x
  2. Step 2: Convert to fraction form
    2,469.43/3,704.88 = 738.07/x
  3. Step 3: Cross multiply
    2,469.43x = 3,704.88 × 738.07
  4. Step 4: Simplify right side
    2,469.43x = 2,734,460.78
  5. Step 5: Solve for x
    x = 2,734,460.78/2,469.43
  6. Step 6: Final answer
    x = 1,107.32

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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.