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Finding the Fourth Proportional to 2,469.54, 3,704.43 and 738

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Solution

The fourth proportional to 2,469.54, 3,704.43 and 738 is: 1,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.54 : 3,704.43 = 738 : x
  2. Step 2: Convert to fraction form
    2,469.54/3,704.43 = 738/x
  3. Step 3: Cross multiply
    2,469.54x = 3,704.43 × 738
  4. Step 4: Simplify right side
    2,469.54x = 2,733,869.34
  5. Step 5: Solve for x
    x = 2,733,869.34/2,469.54
  6. Step 6: Final answer
    x = 1,107.04

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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.