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Finding the Fourth Proportional to 1,735.38, 2,604.38 and 1,274.33

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Solution

The fourth proportional to 1,735.38, 2,604.38 and 1,274.33 is: 1,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.38 : 2,604.38 = 1,274.33 : x
  2. Step 2: Convert to fraction form
    1,735.38/2,604.38 = 1,274.33/x
  3. Step 3: Cross multiply
    1,735.38x = 2,604.38 × 1,274.33
  4. Step 4: Simplify right side
    1,735.38x = 3,318,839.70
  5. Step 5: Solve for x
    x = 3,318,839.70/1,735.38
  6. Step 6: Final answer
    x = 1,912.46

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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.