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Finding the Fourth Proportional to 2,857, 4,289.10 and 2,469.46

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Solution

The fourth proportional to 2,857, 4,289.10 and 2,469.46 is: 3,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857 : 4,289.10 = 2,469.46 : x
  2. Step 2: Convert to fraction form
    2,857/4,289.10 = 2,469.46/x
  3. Step 3: Cross multiply
    2,857x = 4,289.10 × 2,469.46
  4. Step 4: Simplify right side
    2,857x = 10,591,760.89
  5. Step 5: Solve for x
    x = 10,591,760.89/2,857
  6. Step 6: Final answer
    x = 3,707.30

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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.