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Finding the Fourth Proportional to 2,033.52, 3,049.56 and 879

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Solution

The fourth proportional to 2,033.52, 3,049.56 and 879 is: 1,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.52 : 3,049.56 = 879 : x
  2. Step 2: Convert to fraction form
    2,033.52/3,049.56 = 879/x
  3. Step 3: Cross multiply
    2,033.52x = 3,049.56 × 879
  4. Step 4: Simplify right side
    2,033.52x = 2,680,563.24
  5. Step 5: Solve for x
    x = 2,680,563.24/2,033.52
  6. Step 6: Final answer
    x = 1,318.19

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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.