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Finding the Fourth Proportional to 3,274.70, 4,912.09 and 1,823.07

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Solution

The fourth proportional to 3,274.70, 4,912.09 and 1,823.07 is: 2,734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.70 : 4,912.09 = 1,823.07 : x
  2. Step 2: Convert to fraction form
    3,274.70/4,912.09 = 1,823.07/x
  3. Step 3: Cross multiply
    3,274.70x = 4,912.09 × 1,823.07
  4. Step 4: Simplify right side
    3,274.70x = 8,955,108.03
  5. Step 5: Solve for x
    x = 8,955,108.03/3,274.70
  6. Step 6: Final answer
    x = 2,734.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.