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Finding the Fourth Proportional to 3,191.26, 4,786.89 and 1,000.16

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Solution

The fourth proportional to 3,191.26, 4,786.89 and 1,000.16 is: 1,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.26 : 4,786.89 = 1,000.16 : x
  2. Step 2: Convert to fraction form
    3,191.26/4,786.89 = 1,000.16/x
  3. Step 3: Cross multiply
    3,191.26x = 4,786.89 × 1,000.16
  4. Step 4: Simplify right side
    3,191.26x = 4,787,626.97
  5. Step 5: Solve for x
    x = 4,787,626.97/3,191.26
  6. Step 6: Final answer
    x = 1,500.23

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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.