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Finding the Fourth Proportional to 2,822.36, 4,233.54 and 1,361.66

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Solution

The fourth proportional to 2,822.36, 4,233.54 and 1,361.66 is: 2,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.36 : 4,233.54 = 1,361.66 : x
  2. Step 2: Convert to fraction form
    2,822.36/4,233.54 = 1,361.66/x
  3. Step 3: Cross multiply
    2,822.36x = 4,233.54 × 1,361.66
  4. Step 4: Simplify right side
    2,822.36x = 5,764,642.08
  5. Step 5: Solve for x
    x = 5,764,642.08/2,822.36
  6. Step 6: Final answer
    x = 2,042.49

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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.