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Finding the Fourth Proportional to 2,324.26, 3,485.98 and 843.18

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Solution

The fourth proportional to 2,324.26, 3,485.98 and 843.18 is: 1,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.26 : 3,485.98 = 843.18 : x
  2. Step 2: Convert to fraction form
    2,324.26/3,485.98 = 843.18/x
  3. Step 3: Cross multiply
    2,324.26x = 3,485.98 × 843.18
  4. Step 4: Simplify right side
    2,324.26x = 2,939,308.62
  5. Step 5: Solve for x
    x = 2,939,308.62/2,324.26
  6. Step 6: Final answer
    x = 1,264.62

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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.