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Finding the Fourth Proportional to 2,049.16, 3,073.83 and 662.49

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Solution

The fourth proportional to 2,049.16, 3,073.83 and 662.49 is: 993.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.16 : 3,073.83 = 662.49 : x
  2. Step 2: Convert to fraction form
    2,049.16/3,073.83 = 662.49/x
  3. Step 3: Cross multiply
    2,049.16x = 3,073.83 × 662.49
  4. Step 4: Simplify right side
    2,049.16x = 2,036,378.32
  5. Step 5: Solve for x
    x = 2,036,378.32/2,049.16
  6. Step 6: Final answer
    x = 993.76

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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.