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Finding the Fourth Proportional to 2,324.34, 3,487.05 and 680.85

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Solution

The fourth proportional to 2,324.34, 3,487.05 and 680.85 is: 1,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.34 : 3,487.05 = 680.85 : x
  2. Step 2: Convert to fraction form
    2,324.34/3,487.05 = 680.85/x
  3. Step 3: Cross multiply
    2,324.34x = 3,487.05 × 680.85
  4. Step 4: Simplify right side
    2,324.34x = 2,374,157.99
  5. Step 5: Solve for x
    x = 2,374,157.99/2,324.34
  6. Step 6: Final answer
    x = 1,021.43

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1.5x scale

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.