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Finding the Fourth Proportional to 2,321.50, 3,202.49 and 1,524.72

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Solution

The fourth proportional to 2,321.50, 3,202.49 and 1,524.72 is: 2,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.50 : 3,202.49 = 1,524.72 : x
  2. Step 2: Convert to fraction form
    2,321.50/3,202.49 = 1,524.72/x
  3. Step 3: Cross multiply
    2,321.50x = 3,202.49 × 1,524.72
  4. Step 4: Simplify right side
    2,321.50x = 4,882,884.92
  5. Step 5: Solve for x
    x = 4,882,884.92/2,321.50
  6. Step 6: Final answer
    x = 2,103.33

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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.