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Finding the Fourth Proportional to 3,270.84, 4,906.24 and 1,323.02

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Solution

The fourth proportional to 3,270.84, 4,906.24 and 1,323.02 is: 1,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.84 : 4,906.24 = 1,323.02 : x
  2. Step 2: Convert to fraction form
    3,270.84/4,906.24 = 1,323.02/x
  3. Step 3: Cross multiply
    3,270.84x = 4,906.24 × 1,323.02
  4. Step 4: Simplify right side
    3,270.84x = 6,491,053.64
  5. Step 5: Solve for x
    x = 6,491,053.64/3,270.84
  6. Step 6: Final answer
    x = 1,984.52

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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.