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Finding the Fourth Proportional to 2,620.22, 3,930.26 and 771.36

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Solution

The fourth proportional to 2,620.22, 3,930.26 and 771.36 is: 1,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.22 : 3,930.26 = 771.36 : x
  2. Step 2: Convert to fraction form
    2,620.22/3,930.26 = 771.36/x
  3. Step 3: Cross multiply
    2,620.22x = 3,930.26 × 771.36
  4. Step 4: Simplify right side
    2,620.22x = 3,031,626.76
  5. Step 5: Solve for x
    x = 3,031,626.76/2,620.22
  6. Step 6: Final answer
    x = 1,157.01

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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.