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Finding the Fourth Proportional to 2,050.73, 3,076.11 and 664.05

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Solution

The fourth proportional to 2,050.73, 3,076.11 and 664.05 is: 996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.73 : 3,076.11 = 664.05 : x
  2. Step 2: Convert to fraction form
    2,050.73/3,076.11 = 664.05/x
  3. Step 3: Cross multiply
    2,050.73x = 3,076.11 × 664.05
  4. Step 4: Simplify right side
    2,050.73x = 2,042,690.85
  5. Step 5: Solve for x
    x = 2,042,690.85/2,050.73
  6. Step 6: Final answer
    x = 996.08

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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.