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Finding the Fourth Proportional to 3,311.85, 4,967.24 and 1,002.81

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Solution

The fourth proportional to 3,311.85, 4,967.24 and 1,002.81 is: 1,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.85 : 4,967.24 = 1,002.81 : x
  2. Step 2: Convert to fraction form
    3,311.85/4,967.24 = 1,002.81/x
  3. Step 3: Cross multiply
    3,311.85x = 4,967.24 × 1,002.81
  4. Step 4: Simplify right side
    3,311.85x = 4,981,197.94
  5. Step 5: Solve for x
    x = 4,981,197.94/3,311.85
  6. Step 6: Final answer
    x = 1,504.05

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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.