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Finding the Fourth Proportional to 2,674.26, 4,013.20 and 942.90

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Solution

The fourth proportional to 2,674.26, 4,013.20 and 942.90 is: 1,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.26 : 4,013.20 = 942.90 : x
  2. Step 2: Convert to fraction form
    2,674.26/4,013.20 = 942.90/x
  3. Step 3: Cross multiply
    2,674.26x = 4,013.20 × 942.90
  4. Step 4: Simplify right side
    2,674.26x = 3,784,046.28
  5. Step 5: Solve for x
    x = 3,784,046.28/2,674.26
  6. Step 6: Final answer
    x = 1,414.99

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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.