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Finding the Fourth Proportional to 2,243.73, 3,365.82 and 927.21

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Solution

The fourth proportional to 2,243.73, 3,365.82 and 927.21 is: 1,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.73 : 3,365.82 = 927.21 : x
  2. Step 2: Convert to fraction form
    2,243.73/3,365.82 = 927.21/x
  3. Step 3: Cross multiply
    2,243.73x = 3,365.82 × 927.21
  4. Step 4: Simplify right side
    2,243.73x = 3,120,821.96
  5. Step 5: Solve for x
    x = 3,120,821.96/2,243.73
  6. Step 6: Final answer
    x = 1,390.91

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1.5x scale

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.