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Finding the Fourth Proportional to 3,274.88, 4,912.45 and 966.38

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Solution

The fourth proportional to 3,274.88, 4,912.45 and 966.38 is: 1,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.88 : 4,912.45 = 966.38 : x
  2. Step 2: Convert to fraction form
    3,274.88/4,912.45 = 966.38/x
  3. Step 3: Cross multiply
    3,274.88x = 4,912.45 × 966.38
  4. Step 4: Simplify right side
    3,274.88x = 4,747,266.45
  5. Step 5: Solve for x
    x = 4,747,266.45/3,274.88
  6. Step 6: Final answer
    x = 1,449.60

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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.