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Finding the Fourth Proportional to 2,706.52, 3,735 and 1,464.52

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Solution

The fourth proportional to 2,706.52, 3,735 and 1,464.52 is: 2,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.52 : 3,735 = 1,464.52 : x
  2. Step 2: Convert to fraction form
    2,706.52/3,735 = 1,464.52/x
  3. Step 3: Cross multiply
    2,706.52x = 3,735 × 1,464.52
  4. Step 4: Simplify right side
    2,706.52x = 5,469,982.20
  5. Step 5: Solve for x
    x = 5,469,982.20/2,706.52
  6. Step 6: Final answer
    x = 2,021.04

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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.