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Finding the Fourth Proportional to 2,632.98, 3,949.48 and 685.19

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Solution

The fourth proportional to 2,632.98, 3,949.48 and 685.19 is: 1,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.98 : 3,949.48 = 685.19 : x
  2. Step 2: Convert to fraction form
    2,632.98/3,949.48 = 685.19/x
  3. Step 3: Cross multiply
    2,632.98x = 3,949.48 × 685.19
  4. Step 4: Simplify right side
    2,632.98x = 2,706,144.20
  5. Step 5: Solve for x
    x = 2,706,144.20/2,632.98
  6. Step 6: Final answer
    x = 1,027.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.