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Finding the Fourth Proportional to 3,172.32, 4,755.90 and 1,324.80

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Solution

The fourth proportional to 3,172.32, 4,755.90 and 1,324.80 is: 1,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.32 : 4,755.90 = 1,324.80 : x
  2. Step 2: Convert to fraction form
    3,172.32/4,755.90 = 1,324.80/x
  3. Step 3: Cross multiply
    3,172.32x = 4,755.90 × 1,324.80
  4. Step 4: Simplify right side
    3,172.32x = 6,300,616.32
  5. Step 5: Solve for x
    x = 6,300,616.32/3,172.32
  6. Step 6: Final answer
    x = 1,986.12

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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.