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Finding the Fourth Proportional to 3,274.31, 4,912.41 and 965.81

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Solution

The fourth proportional to 3,274.31, 4,912.41 and 965.81 is: 1,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.31 : 4,912.41 = 965.81 : x
  2. Step 2: Convert to fraction form
    3,274.31/4,912.41 = 965.81/x
  3. Step 3: Cross multiply
    3,274.31x = 4,912.41 × 965.81
  4. Step 4: Simplify right side
    3,274.31x = 4,744,470.60
  5. Step 5: Solve for x
    x = 4,744,470.60/3,274.31
  6. Step 6: Final answer
    x = 1,449.00

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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.