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Finding the Fourth Proportional to 2,469.36, 3,704.12 and 738.08

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Solution

The fourth proportional to 2,469.36, 3,704.12 and 738.08 is: 1,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.36 : 3,704.12 = 738.08 : x
  2. Step 2: Convert to fraction form
    2,469.36/3,704.12 = 738.08/x
  3. Step 3: Cross multiply
    2,469.36x = 3,704.12 × 738.08
  4. Step 4: Simplify right side
    2,469.36x = 2,733,936.89
  5. Step 5: Solve for x
    x = 2,733,936.89/2,469.36
  6. Step 6: Final answer
    x = 1,107.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.