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Finding the Fourth Proportional to 2,654.50, 3,660.97 and 2,235.83

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Solution

The fourth proportional to 2,654.50, 3,660.97 and 2,235.83 is: 3,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.50 : 3,660.97 = 2,235.83 : x
  2. Step 2: Convert to fraction form
    2,654.50/3,660.97 = 2,235.83/x
  3. Step 3: Cross multiply
    2,654.50x = 3,660.97 × 2,235.83
  4. Step 4: Simplify right side
    2,654.50x = 8,185,306.56
  5. Step 5: Solve for x
    x = 8,185,306.56/2,654.50
  6. Step 6: Final answer
    x = 3,083.56

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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.