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Finding the Fourth Proportional to 2,441.92, 3,348 and 2,398.08

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Solution

The fourth proportional to 2,441.92, 3,348 and 2,398.08 is: 3,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.92 : 3,348 = 2,398.08 : x
  2. Step 2: Convert to fraction form
    2,441.92/3,348 = 2,398.08/x
  3. Step 3: Cross multiply
    2,441.92x = 3,348 × 2,398.08
  4. Step 4: Simplify right side
    2,441.92x = 8,028,771.84
  5. Step 5: Solve for x
    x = 8,028,771.84/2,441.92
  6. Step 6: Final answer
    x = 3,287.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.