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Finding the Fourth Proportional to 2,324.43, 3,486.51 and 680.94

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Solution

The fourth proportional to 2,324.43, 3,486.51 and 680.94 is: 1,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.43 : 3,486.51 = 680.94 : x
  2. Step 2: Convert to fraction form
    2,324.43/3,486.51 = 680.94/x
  3. Step 3: Cross multiply
    2,324.43x = 3,486.51 × 680.94
  4. Step 4: Simplify right side
    2,324.43x = 2,374,104.12
  5. Step 5: Solve for x
    x = 2,374,104.12/2,324.43
  6. Step 6: Final answer
    x = 1,021.37

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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.