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Finding the Fourth Proportional to 2,408.96, 3,324.67 and 1,361

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Solution

The fourth proportional to 2,408.96, 3,324.67 and 1,361 is: 1,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.96 : 3,324.67 = 1,361 : x
  2. Step 2: Convert to fraction form
    2,408.96/3,324.67 = 1,361/x
  3. Step 3: Cross multiply
    2,408.96x = 3,324.67 × 1,361
  4. Step 4: Simplify right side
    2,408.96x = 4,524,875.87
  5. Step 5: Solve for x
    x = 4,524,875.87/2,408.96
  6. Step 6: Final answer
    x = 1,878.35

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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.