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Finding the Fourth Proportional to 3,122, 4,308.38 and 1,724.80

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Solution

The fourth proportional to 3,122, 4,308.38 and 1,724.80 is: 2,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122 : 4,308.38 = 1,724.80 : x
  2. Step 2: Convert to fraction form
    3,122/4,308.38 = 1,724.80/x
  3. Step 3: Cross multiply
    3,122x = 4,308.38 × 1,724.80
  4. Step 4: Simplify right side
    3,122x = 7,431,093.82
  5. Step 5: Solve for x
    x = 7,431,093.82/3,122
  6. Step 6: Final answer
    x = 2,380.24

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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.