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Finding the Fourth Proportional to 2,621.10, 3,930.78 and 771.78

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Solution

The fourth proportional to 2,621.10, 3,930.78 and 771.78 is: 1,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.10 : 3,930.78 = 771.78 : x
  2. Step 2: Convert to fraction form
    2,621.10/3,930.78 = 771.78/x
  3. Step 3: Cross multiply
    2,621.10x = 3,930.78 × 771.78
  4. Step 4: Simplify right side
    2,621.10x = 3,033,697.39
  5. Step 5: Solve for x
    x = 3,033,697.39/2,621.10
  6. Step 6: Final answer
    x = 1,157.41

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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.