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Finding the Fourth Proportional to 2,519.26, 3,778.11 and 764.19

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Solution

The fourth proportional to 2,519.26, 3,778.11 and 764.19 is: 1,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.26 : 3,778.11 = 764.19 : x
  2. Step 2: Convert to fraction form
    2,519.26/3,778.11 = 764.19/x
  3. Step 3: Cross multiply
    2,519.26x = 3,778.11 × 764.19
  4. Step 4: Simplify right side
    2,519.26x = 2,887,193.88
  5. Step 5: Solve for x
    x = 2,887,193.88/2,519.26
  6. Step 6: Final answer
    x = 1,146.05

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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.