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Finding the Fourth Proportional to 2,593.96, 3,891.24 and 951.28

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Solution

The fourth proportional to 2,593.96, 3,891.24 and 951.28 is: 1,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.96 : 3,891.24 = 951.28 : x
  2. Step 2: Convert to fraction form
    2,593.96/3,891.24 = 951.28/x
  3. Step 3: Cross multiply
    2,593.96x = 3,891.24 × 951.28
  4. Step 4: Simplify right side
    2,593.96x = 3,701,658.79
  5. Step 5: Solve for x
    x = 3,701,658.79/2,593.96
  6. Step 6: Final answer
    x = 1,427.03

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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.