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Finding the Fourth Proportional to 2,717.68, 4,076.86 and 962.27

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Solution

The fourth proportional to 2,717.68, 4,076.86 and 962.27 is: 1,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.68 : 4,076.86 = 962.27 : x
  2. Step 2: Convert to fraction form
    2,717.68/4,076.86 = 962.27/x
  3. Step 3: Cross multiply
    2,717.68x = 4,076.86 × 962.27
  4. Step 4: Simplify right side
    2,717.68x = 3,923,040.07
  5. Step 5: Solve for x
    x = 3,923,040.07/2,717.68
  6. Step 6: Final answer
    x = 1,443.53

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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.