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Finding the Fourth Proportional to 3,271.54, 4,905.96 and 1,323.22

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Solution

The fourth proportional to 3,271.54, 4,905.96 and 1,323.22 is: 1,984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.54 : 4,905.96 = 1,323.22 : x
  2. Step 2: Convert to fraction form
    3,271.54/4,905.96 = 1,323.22/x
  3. Step 3: Cross multiply
    3,271.54x = 4,905.96 × 1,323.22
  4. Step 4: Simplify right side
    3,271.54x = 6,491,664.39
  5. Step 5: Solve for x
    x = 6,491,664.39/3,271.54
  6. Step 6: Final answer
    x = 1,984.28

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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.