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Finding the Fourth Proportional to 2,559.68, 3,839.77 and 685.54

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Solution

The fourth proportional to 2,559.68, 3,839.77 and 685.54 is: 1,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.68 : 3,839.77 = 685.54 : x
  2. Step 2: Convert to fraction form
    2,559.68/3,839.77 = 685.54/x
  3. Step 3: Cross multiply
    2,559.68x = 3,839.77 × 685.54
  4. Step 4: Simplify right side
    2,559.68x = 2,632,321.58
  5. Step 5: Solve for x
    x = 2,632,321.58/2,559.68
  6. Step 6: Final answer
    x = 1,028.38

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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.