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Finding the Fourth Proportional to 2,620.52, 3,930.66 and 771.68

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Solution

The fourth proportional to 2,620.52, 3,930.66 and 771.68 is: 1,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.52 : 3,930.66 = 771.68 : x
  2. Step 2: Convert to fraction form
    2,620.52/3,930.66 = 771.68/x
  3. Step 3: Cross multiply
    2,620.52x = 3,930.66 × 771.68
  4. Step 4: Simplify right side
    2,620.52x = 3,033,211.71
  5. Step 5: Solve for x
    x = 3,033,211.71/2,620.52
  6. Step 6: Final answer
    x = 1,157.48

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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.