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Finding the Fourth Proportional to 2,408.54, 3,324.44 and 1,744.13

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Solution

The fourth proportional to 2,408.54, 3,324.44 and 1,744.13 is: 2,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.54 : 3,324.44 = 1,744.13 : x
  2. Step 2: Convert to fraction form
    2,408.54/3,324.44 = 1,744.13/x
  3. Step 3: Cross multiply
    2,408.54x = 3,324.44 × 1,744.13
  4. Step 4: Simplify right side
    2,408.54x = 5,798,268.21
  5. Step 5: Solve for x
    x = 5,798,268.21/2,408.54
  6. Step 6: Final answer
    x = 2,407.38

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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.