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Finding the Fourth Proportional to 2,238.27, 3,356.33 and 677.67

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Solution

The fourth proportional to 2,238.27, 3,356.33 and 677.67 is: 1,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.27 : 3,356.33 = 677.67 : x
  2. Step 2: Convert to fraction form
    2,238.27/3,356.33 = 677.67/x
  3. Step 3: Cross multiply
    2,238.27x = 3,356.33 × 677.67
  4. Step 4: Simplify right side
    2,238.27x = 2,274,480.76
  5. Step 5: Solve for x
    x = 2,274,480.76/2,238.27
  6. Step 6: Final answer
    x = 1,016.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.