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Finding the Fourth Proportional to 2,049.50, 3,074.70 and 662.96

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Solution

The fourth proportional to 2,049.50, 3,074.70 and 662.96 is: 994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.50 : 3,074.70 = 662.96 : x
  2. Step 2: Convert to fraction form
    2,049.50/3,074.70 = 662.96/x
  3. Step 3: Cross multiply
    2,049.50x = 3,074.70 × 662.96
  4. Step 4: Simplify right side
    2,049.50x = 2,038,403.11
  5. Step 5: Solve for x
    x = 2,038,403.11/2,049.50
  6. Step 6: Final answer
    x = 994.59

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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.