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Finding the Fourth Proportional to 3,199.97, 4,797.11 and 1,253.53

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Solution

The fourth proportional to 3,199.97, 4,797.11 and 1,253.53 is: 1,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.97 : 4,797.11 = 1,253.53 : x
  2. Step 2: Convert to fraction form
    3,199.97/4,797.11 = 1,253.53/x
  3. Step 3: Cross multiply
    3,199.97x = 4,797.11 × 1,253.53
  4. Step 4: Simplify right side
    3,199.97x = 6,013,315.03
  5. Step 5: Solve for x
    x = 6,013,315.03/3,199.97
  6. Step 6: Final answer
    x = 1,879.18

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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.