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Finding the Fourth Proportional to 3,193.42, 4,785.97 and 1,632.11

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Solution

The fourth proportional to 3,193.42, 4,785.97 and 1,632.11 is: 2,446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.42 : 4,785.97 = 1,632.11 : x
  2. Step 2: Convert to fraction form
    3,193.42/4,785.97 = 1,632.11/x
  3. Step 3: Cross multiply
    3,193.42x = 4,785.97 × 1,632.11
  4. Step 4: Simplify right side
    3,193.42x = 7,811,197.41
  5. Step 5: Solve for x
    x = 7,811,197.41/3,193.42
  6. Step 6: Final answer
    x = 2,446.03

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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.