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Finding the Fourth Proportional to 2,954.27, 4,431.41 and 874.29

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Solution

The fourth proportional to 2,954.27, 4,431.41 and 874.29 is: 1,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.27 : 4,431.41 = 874.29 : x
  2. Step 2: Convert to fraction form
    2,954.27/4,431.41 = 874.29/x
  3. Step 3: Cross multiply
    2,954.27x = 4,431.41 × 874.29
  4. Step 4: Simplify right side
    2,954.27x = 3,874,352.97
  5. Step 5: Solve for x
    x = 3,874,352.97/2,954.27
  6. Step 6: Final answer
    x = 1,311.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.