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Finding the Fourth Proportional to 2,717.45, 4,076.63 and 868.42

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Solution

The fourth proportional to 2,717.45, 4,076.63 and 868.42 is: 1,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.45 : 4,076.63 = 868.42 : x
  2. Step 2: Convert to fraction form
    2,717.45/4,076.63 = 868.42/x
  3. Step 3: Cross multiply
    2,717.45x = 4,076.63 × 868.42
  4. Step 4: Simplify right side
    2,717.45x = 3,540,227.02
  5. Step 5: Solve for x
    x = 3,540,227.02/2,717.45
  6. Step 6: Final answer
    x = 1,302.78

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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.