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Finding the Fourth Proportional to 2,469.57, 3,704.96 and 1,740.57

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Solution

The fourth proportional to 2,469.57, 3,704.96 and 1,740.57 is: 2,611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.57 : 3,704.96 = 1,740.57 : x
  2. Step 2: Convert to fraction form
    2,469.57/3,704.96 = 1,740.57/x
  3. Step 3: Cross multiply
    2,469.57x = 3,704.96 × 1,740.57
  4. Step 4: Simplify right side
    2,469.57x = 6,448,733.52
  5. Step 5: Solve for x
    x = 6,448,733.52/2,469.57
  6. Step 6: Final answer
    x = 2,611.28

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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.