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Finding the Fourth Proportional to 2,706.38, 3,734.81 and 1,464.38

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Solution

The fourth proportional to 2,706.38, 3,734.81 and 1,464.38 is: 2,020.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.38 : 3,734.81 = 1,464.38 : x
  2. Step 2: Convert to fraction form
    2,706.38/3,734.81 = 1,464.38/x
  3. Step 3: Cross multiply
    2,706.38x = 3,734.81 × 1,464.38
  4. Step 4: Simplify right side
    2,706.38x = 5,469,181.07
  5. Step 5: Solve for x
    x = 5,469,181.07/2,706.38
  6. Step 6: Final answer
    x = 2,020.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.