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Finding the Fourth Proportional to 3,197.52, 4,410.82 and 2,045.55

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Solution

The fourth proportional to 3,197.52, 4,410.82 and 2,045.55 is: 2,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.52 : 4,410.82 = 2,045.55 : x
  2. Step 2: Convert to fraction form
    3,197.52/4,410.82 = 2,045.55/x
  3. Step 3: Cross multiply
    3,197.52x = 4,410.82 × 2,045.55
  4. Step 4: Simplify right side
    3,197.52x = 9,022,571.95
  5. Step 5: Solve for x
    x = 9,022,571.95/3,197.52
  6. Step 6: Final answer
    x = 2,821.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.