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Finding the Fourth Proportional to 2,796.62, 4,194.86 and 716.58

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Solution

The fourth proportional to 2,796.62, 4,194.86 and 716.58 is: 1,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.62 : 4,194.86 = 716.58 : x
  2. Step 2: Convert to fraction form
    2,796.62/4,194.86 = 716.58/x
  3. Step 3: Cross multiply
    2,796.62x = 4,194.86 × 716.58
  4. Step 4: Simplify right side
    2,796.62x = 3,005,949.20
  5. Step 5: Solve for x
    x = 3,005,949.20/2,796.62
  6. Step 6: Final answer
    x = 1,074.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.