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Finding the Fourth Proportional to 2,049.37, 3,074.46 and 662.79

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Solution

The fourth proportional to 2,049.37, 3,074.46 and 662.79 is: 994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.37 : 3,074.46 = 662.79 : x
  2. Step 2: Convert to fraction form
    2,049.37/3,074.46 = 662.79/x
  3. Step 3: Cross multiply
    2,049.37x = 3,074.46 × 662.79
  4. Step 4: Simplify right side
    2,049.37x = 2,037,705.97
  5. Step 5: Solve for x
    x = 2,037,705.97/2,049.37
  6. Step 6: Final answer
    x = 994.31

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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.