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Finding the Fourth Proportional to 2,324.13, 3,486.85 and 680.74

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Solution

The fourth proportional to 2,324.13, 3,486.85 and 680.74 is: 1,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.13 : 3,486.85 = 680.74 : x
  2. Step 2: Convert to fraction form
    2,324.13/3,486.85 = 680.74/x
  3. Step 3: Cross multiply
    2,324.13x = 3,486.85 × 680.74
  4. Step 4: Simplify right side
    2,324.13x = 2,373,627.85
  5. Step 5: Solve for x
    x = 2,373,627.85/2,324.13
  6. Step 6: Final answer
    x = 1,021.30

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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.