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Finding the Fourth Proportional to 3,222.72, 4,833.42 and 1,274.46

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Solution

The fourth proportional to 3,222.72, 4,833.42 and 1,274.46 is: 1,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.72 : 4,833.42 = 1,274.46 : x
  2. Step 2: Convert to fraction form
    3,222.72/4,833.42 = 1,274.46/x
  3. Step 3: Cross multiply
    3,222.72x = 4,833.42 × 1,274.46
  4. Step 4: Simplify right side
    3,222.72x = 6,160,000.45
  5. Step 5: Solve for x
    x = 6,160,000.45/3,222.72
  6. Step 6: Final answer
    x = 1,911.43

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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.