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Finding the Fourth Proportional to 3,271.65, 4,906.26 and 1,323.21

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Solution

The fourth proportional to 3,271.65, 4,906.26 and 1,323.21 is: 1,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.65 : 4,906.26 = 1,323.21 : x
  2. Step 2: Convert to fraction form
    3,271.65/4,906.26 = 1,323.21/x
  3. Step 3: Cross multiply
    3,271.65x = 4,906.26 × 1,323.21
  4. Step 4: Simplify right side
    3,271.65x = 6,492,012.29
  5. Step 5: Solve for x
    x = 6,492,012.29/3,271.65
  6. Step 6: Final answer
    x = 1,984.32

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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.