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Finding the Fourth Proportional to 2,398.33, 3,311.22 and 1,643.39

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Solution

The fourth proportional to 2,398.33, 3,311.22 and 1,643.39 is: 2,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.33 : 3,311.22 = 1,643.39 : x
  2. Step 2: Convert to fraction form
    2,398.33/3,311.22 = 1,643.39/x
  3. Step 3: Cross multiply
    2,398.33x = 3,311.22 × 1,643.39
  4. Step 4: Simplify right side
    2,398.33x = 5,441,618.62
  5. Step 5: Solve for x
    x = 5,441,618.62/2,398.33
  6. Step 6: Final answer
    x = 2,268.92

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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.