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Finding the Fourth Proportional to 2,561.69, 3,839.37 and 1,328.39

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Solution

The fourth proportional to 2,561.69, 3,839.37 and 1,328.39 is: 1,990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.69 : 3,839.37 = 1,328.39 : x
  2. Step 2: Convert to fraction form
    2,561.69/3,839.37 = 1,328.39/x
  3. Step 3: Cross multiply
    2,561.69x = 3,839.37 × 1,328.39
  4. Step 4: Simplify right side
    2,561.69x = 5,100,180.71
  5. Step 5: Solve for x
    x = 5,100,180.71/2,561.69
  6. Step 6: Final answer
    x = 1,990.94

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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.