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Finding the Fourth Proportional to 3,274.71, 4,905.89 and 1,626.26

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Solution

The fourth proportional to 3,274.71, 4,905.89 and 1,626.26 is: 2,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.71 : 4,905.89 = 1,626.26 : x
  2. Step 2: Convert to fraction form
    3,274.71/4,905.89 = 1,626.26/x
  3. Step 3: Cross multiply
    3,274.71x = 4,905.89 × 1,626.26
  4. Step 4: Simplify right side
    3,274.71x = 7,978,220.01
  5. Step 5: Solve for x
    x = 7,978,220.01/3,274.71
  6. Step 6: Final answer
    x = 2,436.31

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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.