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Finding the Fourth Proportional to 3,170.95, 4,757.24 and 1,222.63

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Solution

The fourth proportional to 3,170.95, 4,757.24 and 1,222.63 is: 1,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.95 : 4,757.24 = 1,222.63 : x
  2. Step 2: Convert to fraction form
    3,170.95/4,757.24 = 1,222.63/x
  3. Step 3: Cross multiply
    3,170.95x = 4,757.24 × 1,222.63
  4. Step 4: Simplify right side
    3,170.95x = 5,816,338.23
  5. Step 5: Solve for x
    x = 5,816,338.23/3,170.95
  6. Step 6: Final answer
    x = 1,834.26

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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.