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Finding the Fourth Proportional to 2,771.50, 4,157.24 and 1,616.44

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Solution

The fourth proportional to 2,771.50, 4,157.24 and 1,616.44 is: 2,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.50 : 4,157.24 = 1,616.44 : x
  2. Step 2: Convert to fraction form
    2,771.50/4,157.24 = 1,616.44/x
  3. Step 3: Cross multiply
    2,771.50x = 4,157.24 × 1,616.44
  4. Step 4: Simplify right side
    2,771.50x = 6,719,929.03
  5. Step 5: Solve for x
    x = 6,719,929.03/2,771.50
  6. Step 6: Final answer
    x = 2,424.65

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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.