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Finding the Fourth Proportional to 2,166.66, 3,249.57 and 850.01

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Solution

The fourth proportional to 2,166.66, 3,249.57 and 850.01 is: 1,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.66 : 3,249.57 = 850.01 : x
  2. Step 2: Convert to fraction form
    2,166.66/3,249.57 = 850.01/x
  3. Step 3: Cross multiply
    2,166.66x = 3,249.57 × 850.01
  4. Step 4: Simplify right side
    2,166.66x = 2,762,150.75
  5. Step 5: Solve for x
    x = 2,762,150.75/2,166.66
  6. Step 6: Final answer
    x = 1,274.84

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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.