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Finding the Fourth Proportional to 2,559.07, 3,839.82 and 827.69

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Solution

The fourth proportional to 2,559.07, 3,839.82 and 827.69 is: 1,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.07 : 3,839.82 = 827.69 : x
  2. Step 2: Convert to fraction form
    2,559.07/3,839.82 = 827.69/x
  3. Step 3: Cross multiply
    2,559.07x = 3,839.82 × 827.69
  4. Step 4: Simplify right side
    2,559.07x = 3,178,190.22
  5. Step 5: Solve for x
    x = 3,178,190.22/2,559.07
  6. Step 6: Final answer
    x = 1,241.93

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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.