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Finding the Fourth Proportional to 3,222.62, 4,834.24 and 1,274.38

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Solution

The fourth proportional to 3,222.62, 4,834.24 and 1,274.38 is: 1,911.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.62 : 4,834.24 = 1,274.38 : x
  2. Step 2: Convert to fraction form
    3,222.62/4,834.24 = 1,274.38/x
  3. Step 3: Cross multiply
    3,222.62x = 4,834.24 × 1,274.38
  4. Step 4: Simplify right side
    3,222.62x = 6,160,658.77
  5. Step 5: Solve for x
    x = 6,160,658.77/3,222.62
  6. Step 6: Final answer
    x = 1,911.69

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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.