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Finding the Fourth Proportional to 3,197.98, 4,411.42 and 2,003.77

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Solution

The fourth proportional to 3,197.98, 4,411.42 and 2,003.77 is: 2,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.98 : 4,411.42 = 2,003.77 : x
  2. Step 2: Convert to fraction form
    3,197.98/4,411.42 = 2,003.77/x
  3. Step 3: Cross multiply
    3,197.98x = 4,411.42 × 2,003.77
  4. Step 4: Simplify right side
    3,197.98x = 8,839,471.05
  5. Step 5: Solve for x
    x = 8,839,471.05/3,197.98
  6. Step 6: Final answer
    x = 2,764.08

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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.