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Finding the Fourth Proportional to 2,008.56, 2,771.32 and 1,222.56

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Solution

The fourth proportional to 2,008.56, 2,771.32 and 1,222.56 is: 1,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.56 : 2,771.32 = 1,222.56 : x
  2. Step 2: Convert to fraction form
    2,008.56/2,771.32 = 1,222.56/x
  3. Step 3: Cross multiply
    2,008.56x = 2,771.32 × 1,222.56
  4. Step 4: Simplify right side
    2,008.56x = 3,388,104.98
  5. Step 5: Solve for x
    x = 3,388,104.98/2,008.56
  6. Step 6: Final answer
    x = 1,686.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.