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Finding the Fourth Proportional to 2,600.26, 3,902.25 and 1,039.36

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Solution

The fourth proportional to 2,600.26, 3,902.25 and 1,039.36 is: 1,559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.26 : 3,902.25 = 1,039.36 : x
  2. Step 2: Convert to fraction form
    2,600.26/3,902.25 = 1,039.36/x
  3. Step 3: Cross multiply
    2,600.26x = 3,902.25 × 1,039.36
  4. Step 4: Simplify right side
    2,600.26x = 4,055,842.56
  5. Step 5: Solve for x
    x = 4,055,842.56/2,600.26
  6. Step 6: Final answer
    x = 1,559.78

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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.