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Finding the Fourth Proportional to 2,528.67, 3,793.01 and 1,662.78

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Solution

The fourth proportional to 2,528.67, 3,793.01 and 1,662.78 is: 2,494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.67 : 3,793.01 = 1,662.78 : x
  2. Step 2: Convert to fraction form
    2,528.67/3,793.01 = 1,662.78/x
  3. Step 3: Cross multiply
    2,528.67x = 3,793.01 × 1,662.78
  4. Step 4: Simplify right side
    2,528.67x = 6,306,932.85
  5. Step 5: Solve for x
    x = 6,306,932.85/2,528.67
  6. Step 6: Final answer
    x = 2,494.17

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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.