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Finding the Fourth Proportional to 2,797.86, 4,196.70 and 717.87

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Solution

The fourth proportional to 2,797.86, 4,196.70 and 717.87 is: 1,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.86 : 4,196.70 = 717.87 : x
  2. Step 2: Convert to fraction form
    2,797.86/4,196.70 = 717.87/x
  3. Step 3: Cross multiply
    2,797.86x = 4,196.70 × 717.87
  4. Step 4: Simplify right side
    2,797.86x = 3,012,685.03
  5. Step 5: Solve for x
    x = 3,012,685.03/2,797.86
  6. Step 6: Final answer
    x = 1,076.78

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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.