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Finding the Fourth Proportional to 2,324.26, 3,487.73 and 864.41

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Solution

The fourth proportional to 2,324.26, 3,487.73 and 864.41 is: 1,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.26 : 3,487.73 = 864.41 : x
  2. Step 2: Convert to fraction form
    2,324.26/3,487.73 = 864.41/x
  3. Step 3: Cross multiply
    2,324.26x = 3,487.73 × 864.41
  4. Step 4: Simplify right side
    2,324.26x = 3,014,828.69
  5. Step 5: Solve for x
    x = 3,014,828.69/2,324.26
  6. Step 6: Final answer
    x = 1,297.11

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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.