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Finding the Fourth Proportional to 2,380.93, 3,571.89 and 820.87

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Solution

The fourth proportional to 2,380.93, 3,571.89 and 820.87 is: 1,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.93 : 3,571.89 = 820.87 : x
  2. Step 2: Convert to fraction form
    2,380.93/3,571.89 = 820.87/x
  3. Step 3: Cross multiply
    2,380.93x = 3,571.89 × 820.87
  4. Step 4: Simplify right side
    2,380.93x = 2,932,057.34
  5. Step 5: Solve for x
    x = 2,932,057.34/2,380.93
  6. Step 6: Final answer
    x = 1,231.48

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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.