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Finding the Fourth Proportional to 2,027.69, 3,041.73 and 566.82

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Solution

The fourth proportional to 2,027.69, 3,041.73 and 566.82 is: 850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.69 : 3,041.73 = 566.82 : x
  2. Step 2: Convert to fraction form
    2,027.69/3,041.73 = 566.82/x
  3. Step 3: Cross multiply
    2,027.69x = 3,041.73 × 566.82
  4. Step 4: Simplify right side
    2,027.69x = 1,724,113.40
  5. Step 5: Solve for x
    x = 1,724,113.40/2,027.69
  6. Step 6: Final answer
    x = 850.28

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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.