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Finding the Fourth Proportional to 2,626.83, 3,940.85 and 777.96

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Solution

The fourth proportional to 2,626.83, 3,940.85 and 777.96 is: 1,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.83 : 3,940.85 = 777.96 : x
  2. Step 2: Convert to fraction form
    2,626.83/3,940.85 = 777.96/x
  3. Step 3: Cross multiply
    2,626.83x = 3,940.85 × 777.96
  4. Step 4: Simplify right side
    2,626.83x = 3,065,819.78
  5. Step 5: Solve for x
    x = 3,065,819.78/2,626.83
  6. Step 6: Final answer
    x = 1,167.12

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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.