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Finding the Fourth Proportional to 2,942.19, 4,412.27 and 993.94

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Solution

The fourth proportional to 2,942.19, 4,412.27 and 993.94 is: 1,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.19 : 4,412.27 = 993.94 : x
  2. Step 2: Convert to fraction form
    2,942.19/4,412.27 = 993.94/x
  3. Step 3: Cross multiply
    2,942.19x = 4,412.27 × 993.94
  4. Step 4: Simplify right side
    2,942.19x = 4,385,523.10
  5. Step 5: Solve for x
    x = 4,385,523.10/2,942.19
  6. Step 6: Final answer
    x = 1,490.56

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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.