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Finding the Fourth Proportional to 3,197.98, 4,797.01 and 1,224.52

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Solution

The fourth proportional to 3,197.98, 4,797.01 and 1,224.52 is: 1,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.98 : 4,797.01 = 1,224.52 : x
  2. Step 2: Convert to fraction form
    3,197.98/4,797.01 = 1,224.52/x
  3. Step 3: Cross multiply
    3,197.98x = 4,797.01 × 1,224.52
  4. Step 4: Simplify right side
    3,197.98x = 5,874,017.34
  5. Step 5: Solve for x
    x = 5,874,017.34/3,197.98
  6. Step 6: Final answer
    x = 1,836.79

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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.