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Finding the Fourth Proportional to 2,049.64, 3,074.94 and 662.92

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Solution

The fourth proportional to 2,049.64, 3,074.94 and 662.92 is: 994.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.64 : 3,074.94 = 662.92 : x
  2. Step 2: Convert to fraction form
    2,049.64/3,074.94 = 662.92/x
  3. Step 3: Cross multiply
    2,049.64x = 3,074.94 × 662.92
  4. Step 4: Simplify right side
    2,049.64x = 2,038,439.22
  5. Step 5: Solve for x
    x = 2,038,439.22/2,049.64
  6. Step 6: Final answer
    x = 994.54

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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.