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Finding the Fourth Proportional to 3,271.46, 4,906.72 and 1,323.20

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Solution

The fourth proportional to 3,271.46, 4,906.72 and 1,323.20 is: 1,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.46 : 4,906.72 = 1,323.20 : x
  2. Step 2: Convert to fraction form
    3,271.46/4,906.72 = 1,323.20/x
  3. Step 3: Cross multiply
    3,271.46x = 4,906.72 × 1,323.20
  4. Step 4: Simplify right side
    3,271.46x = 6,492,571.90
  5. Step 5: Solve for x
    x = 6,492,571.90/3,271.46
  6. Step 6: Final answer
    x = 1,984.61

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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.