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Finding the Fourth Proportional to 3,301.97, 4,951.17 and 1,450.95

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Solution

The fourth proportional to 3,301.97, 4,951.17 and 1,450.95 is: 2,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.97 : 4,951.17 = 1,450.95 : x
  2. Step 2: Convert to fraction form
    3,301.97/4,951.17 = 1,450.95/x
  3. Step 3: Cross multiply
    3,301.97x = 4,951.17 × 1,450.95
  4. Step 4: Simplify right side
    3,301.97x = 7,183,900.11
  5. Step 5: Solve for x
    x = 7,183,900.11/3,301.97
  6. Step 6: Final answer
    x = 2,175.64

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1.5x scale

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.