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Finding the Fourth Proportional to 3,066, 4,231.08 and 1,824

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Solution

The fourth proportional to 3,066, 4,231.08 and 1,824 is: 2,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066 : 4,231.08 = 1,824 : x
  2. Step 2: Convert to fraction form
    3,066/4,231.08 = 1,824/x
  3. Step 3: Cross multiply
    3,066x = 4,231.08 × 1,824
  4. Step 4: Simplify right side
    3,066x = 7,717,489.92
  5. Step 5: Solve for x
    x = 7,717,489.92/3,066
  6. Step 6: Final answer
    x = 2,517.12

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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.