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Finding the Fourth Proportional to 2,706.38, 3,734.96 and 1,644.24

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Solution

The fourth proportional to 2,706.38, 3,734.96 and 1,644.24 is: 2,269.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.38 : 3,734.96 = 1,644.24 : x
  2. Step 2: Convert to fraction form
    2,706.38/3,734.96 = 1,644.24/x
  3. Step 3: Cross multiply
    2,706.38x = 3,734.96 × 1,644.24
  4. Step 4: Simplify right side
    2,706.38x = 6,141,170.63
  5. Step 5: Solve for x
    x = 6,141,170.63/2,706.38
  6. Step 6: Final answer
    x = 2,269.15

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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.