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Finding the Fourth Proportional to 2,027.75, 3,041.49 and 566.93

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Solution

The fourth proportional to 2,027.75, 3,041.49 and 566.93 is: 850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.75 : 3,041.49 = 566.93 : x
  2. Step 2: Convert to fraction form
    2,027.75/3,041.49 = 566.93/x
  3. Step 3: Cross multiply
    2,027.75x = 3,041.49 × 566.93
  4. Step 4: Simplify right side
    2,027.75x = 1,724,311.93
  5. Step 5: Solve for x
    x = 1,724,311.93/2,027.75
  6. Step 6: Final answer
    x = 850.36

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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.