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Finding the Fourth Proportional to 2,620.96, 3,930.73 and 771.59

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Solution

The fourth proportional to 2,620.96, 3,930.73 and 771.59 is: 1,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.96 : 3,930.73 = 771.59 : x
  2. Step 2: Convert to fraction form
    2,620.96/3,930.73 = 771.59/x
  3. Step 3: Cross multiply
    2,620.96x = 3,930.73 × 771.59
  4. Step 4: Simplify right side
    2,620.96x = 3,032,919.86
  5. Step 5: Solve for x
    x = 3,032,919.86/2,620.96
  6. Step 6: Final answer
    x = 1,157.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.