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Finding the Fourth Proportional to 2,400, 3,600.21 and 668.63

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Solution

The fourth proportional to 2,400, 3,600.21 and 668.63 is: 1,002.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400 : 3,600.21 = 668.63 : x
  2. Step 2: Convert to fraction form
    2,400/3,600.21 = 668.63/x
  3. Step 3: Cross multiply
    2,400x = 3,600.21 × 668.63
  4. Step 4: Simplify right side
    2,400x = 2,407,187.90
  5. Step 5: Solve for x
    x = 2,407,187.90/2,400
  6. Step 6: Final answer
    x = 1,002.99

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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.