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Finding the Fourth Proportional to 2,400.05, 3,600.10 and 668.67

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Solution

The fourth proportional to 2,400.05, 3,600.10 and 668.67 is: 1,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.05 : 3,600.10 = 668.67 : x
  2. Step 2: Convert to fraction form
    2,400.05/3,600.10 = 668.67/x
  3. Step 3: Cross multiply
    2,400.05x = 3,600.10 × 668.67
  4. Step 4: Simplify right side
    2,400.05x = 2,407,282.69
  5. Step 5: Solve for x
    x = 2,407,282.69/2,400.05
  6. Step 6: Final answer
    x = 1,003.01

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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.