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Finding the Fourth Proportional to 2,382.84, 3,571.56 and 821.43

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Solution

The fourth proportional to 2,382.84, 3,571.56 and 821.43 is: 1,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.84 : 3,571.56 = 821.43 : x
  2. Step 2: Convert to fraction form
    2,382.84/3,571.56 = 821.43/x
  3. Step 3: Cross multiply
    2,382.84x = 3,571.56 × 821.43
  4. Step 4: Simplify right side
    2,382.84x = 2,933,786.53
  5. Step 5: Solve for x
    x = 2,933,786.53/2,382.84
  6. Step 6: Final answer
    x = 1,231.21

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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.