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Finding the Fourth Proportional to 3,312.82, 4,571.79 and 1,820.83

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Solution

The fourth proportional to 3,312.82, 4,571.79 and 1,820.83 is: 2,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.82 : 4,571.79 = 1,820.83 : x
  2. Step 2: Convert to fraction form
    3,312.82/4,571.79 = 1,820.83/x
  3. Step 3: Cross multiply
    3,312.82x = 4,571.79 × 1,820.83
  4. Step 4: Simplify right side
    3,312.82x = 8,324,452.39
  5. Step 5: Solve for x
    x = 8,324,452.39/3,312.82
  6. Step 6: Final answer
    x = 2,512.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.