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Finding the Fourth Proportional to 2,654.80, 3,981.66 and 1,193.56

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Solution

The fourth proportional to 2,654.80, 3,981.66 and 1,193.56 is: 1,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.80 : 3,981.66 = 1,193.56 : x
  2. Step 2: Convert to fraction form
    2,654.80/3,981.66 = 1,193.56/x
  3. Step 3: Cross multiply
    2,654.80x = 3,981.66 × 1,193.56
  4. Step 4: Simplify right side
    2,654.80x = 4,752,350.11
  5. Step 5: Solve for x
    x = 4,752,350.11/2,654.80
  6. Step 6: Final answer
    x = 1,790.10

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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.