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Finding the Fourth Proportional to 2,540.67, 3,808.22 and 1,662.81

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Solution

The fourth proportional to 2,540.67, 3,808.22 and 1,662.81 is: 2,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.67 : 3,808.22 = 1,662.81 : x
  2. Step 2: Convert to fraction form
    2,540.67/3,808.22 = 1,662.81/x
  3. Step 3: Cross multiply
    2,540.67x = 3,808.22 × 1,662.81
  4. Step 4: Simplify right side
    2,540.67x = 6,332,337.98
  5. Step 5: Solve for x
    x = 6,332,337.98/2,540.67
  6. Step 6: Final answer
    x = 2,492.39

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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.