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Finding the Fourth Proportional to 2,706.50, 3,734.97 and 1,464.50

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Solution

The fourth proportional to 2,706.50, 3,734.97 and 1,464.50 is: 2,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.50 : 3,734.97 = 1,464.50 : x
  2. Step 2: Convert to fraction form
    2,706.50/3,734.97 = 1,464.50/x
  3. Step 3: Cross multiply
    2,706.50x = 3,734.97 × 1,464.50
  4. Step 4: Simplify right side
    2,706.50x = 5,469,863.57
  5. Step 5: Solve for x
    x = 5,469,863.57/2,706.50
  6. Step 6: Final answer
    x = 2,021.01

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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.