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Finding the Fourth Proportional to 2,400.21, 3,600.83 and 756.89

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Solution

The fourth proportional to 2,400.21, 3,600.83 and 756.89 is: 1,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.21 : 3,600.83 = 756.89 : x
  2. Step 2: Convert to fraction form
    2,400.21/3,600.83 = 756.89/x
  3. Step 3: Cross multiply
    2,400.21x = 3,600.83 × 756.89
  4. Step 4: Simplify right side
    2,400.21x = 2,725,410.43
  5. Step 5: Solve for x
    x = 2,725,410.43/2,400.21
  6. Step 6: Final answer
    x = 1,135.49

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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.