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Finding the Fourth Proportional to 2,717.69, 4,076.22 and 868.62

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Solution

The fourth proportional to 2,717.69, 4,076.22 and 868.62 is: 1,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.69 : 4,076.22 = 868.62 : x
  2. Step 2: Convert to fraction form
    2,717.69/4,076.22 = 868.62/x
  3. Step 3: Cross multiply
    2,717.69x = 4,076.22 × 868.62
  4. Step 4: Simplify right side
    2,717.69x = 3,540,704.76
  5. Step 5: Solve for x
    x = 3,540,704.76/2,717.69
  6. Step 6: Final answer
    x = 1,302.84

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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.