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Finding the Fourth Proportional to 2,951.24, 4,425 and 1,563.70

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Solution

The fourth proportional to 2,951.24, 4,425 and 1,563.70 is: 2,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.24 : 4,425 = 1,563.70 : x
  2. Step 2: Convert to fraction form
    2,951.24/4,425 = 1,563.70/x
  3. Step 3: Cross multiply
    2,951.24x = 4,425 × 1,563.70
  4. Step 4: Simplify right side
    2,951.24x = 6,919,372.50
  5. Step 5: Solve for x
    x = 6,919,372.50/2,951.24
  6. Step 6: Final answer
    x = 2,344.56

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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.