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Finding the Fourth Proportional to 2,619.96, 3,930.43 and 865.09

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Solution

The fourth proportional to 2,619.96, 3,930.43 and 865.09 is: 1,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.96 : 3,930.43 = 865.09 : x
  2. Step 2: Convert to fraction form
    2,619.96/3,930.43 = 865.09/x
  3. Step 3: Cross multiply
    2,619.96x = 3,930.43 × 865.09
  4. Step 4: Simplify right side
    2,619.96x = 3,400,151.71
  5. Step 5: Solve for x
    x = 3,400,151.71/2,619.96
  6. Step 6: Final answer
    x = 1,297.79

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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.