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Finding the Fourth Proportional to 2,722.98, 3,755.70 and 1,727.40

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Solution

The fourth proportional to 2,722.98, 3,755.70 and 1,727.40 is: 2,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.98 : 3,755.70 = 1,727.40 : x
  2. Step 2: Convert to fraction form
    2,722.98/3,755.70 = 1,727.40/x
  3. Step 3: Cross multiply
    2,722.98x = 3,755.70 × 1,727.40
  4. Step 4: Simplify right side
    2,722.98x = 6,487,596.18
  5. Step 5: Solve for x
    x = 6,487,596.18/2,722.98
  6. Step 6: Final answer
    x = 2,382.54

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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.