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Finding the Fourth Proportional to 2,797.84, 4,196.68 and 717.76

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Solution

The fourth proportional to 2,797.84, 4,196.68 and 717.76 is: 1,076.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.84 : 4,196.68 = 717.76 : x
  2. Step 2: Convert to fraction form
    2,797.84/4,196.68 = 717.76/x
  3. Step 3: Cross multiply
    2,797.84x = 4,196.68 × 717.76
  4. Step 4: Simplify right side
    2,797.84x = 3,012,212.49
  5. Step 5: Solve for x
    x = 3,012,212.49/2,797.84
  6. Step 6: Final answer
    x = 1,076.62

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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.