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Finding the Fourth Proportional to 2,033.92, 3,049.51 and 937.69

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Solution

The fourth proportional to 2,033.92, 3,049.51 and 937.69 is: 1,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.92 : 3,049.51 = 937.69 : x
  2. Step 2: Convert to fraction form
    2,033.92/3,049.51 = 937.69/x
  3. Step 3: Cross multiply
    2,033.92x = 3,049.51 × 937.69
  4. Step 4: Simplify right side
    2,033.92x = 2,859,495.03
  5. Step 5: Solve for x
    x = 2,859,495.03/2,033.92
  6. Step 6: Final answer
    x = 1,405.90

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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.