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Finding the Fourth Proportional to 2,942.43, 4,412.58 and 967.55

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Solution

The fourth proportional to 2,942.43, 4,412.58 and 967.55 is: 1,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.43 : 4,412.58 = 967.55 : x
  2. Step 2: Convert to fraction form
    2,942.43/4,412.58 = 967.55/x
  3. Step 3: Cross multiply
    2,942.43x = 4,412.58 × 967.55
  4. Step 4: Simplify right side
    2,942.43x = 4,269,366.09
  5. Step 5: Solve for x
    x = 4,269,366.09/2,942.43
  6. Step 6: Final answer
    x = 1,450.97

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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.