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Finding the Fourth Proportional to 2,191.73, 3,024.50 and 1,197.05

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Solution

The fourth proportional to 2,191.73, 3,024.50 and 1,197.05 is: 1,651.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.73 : 3,024.50 = 1,197.05 : x
  2. Step 2: Convert to fraction form
    2,191.73/3,024.50 = 1,197.05/x
  3. Step 3: Cross multiply
    2,191.73x = 3,024.50 × 1,197.05
  4. Step 4: Simplify right side
    2,191.73x = 3,620,456.62
  5. Step 5: Solve for x
    x = 3,620,456.62/2,191.73
  6. Step 6: Final answer
    x = 1,651.88

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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.