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Finding the Fourth Proportional to 3,433.05, 5,149.00 and 967.31

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Solution

The fourth proportional to 3,433.05, 5,149.00 and 967.31 is: 1,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.05 : 5,149.00 = 967.31 : x
  2. Step 2: Convert to fraction form
    3,433.05/5,149.00 = 967.31/x
  3. Step 3: Cross multiply
    3,433.05x = 5,149.00 × 967.31
  4. Step 4: Simplify right side
    3,433.05x = 4,980,673.96
  5. Step 5: Solve for x
    x = 4,980,673.96/3,433.05
  6. Step 6: Final answer
    x = 1,450.80

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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.