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Finding the Fourth Proportional to 2,027.85, 3,041.77 and 488.85

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Solution

The fourth proportional to 2,027.85, 3,041.77 and 488.85 is: 733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.85 : 3,041.77 = 488.85 : x
  2. Step 2: Convert to fraction form
    2,027.85/3,041.77 = 488.85/x
  3. Step 3: Cross multiply
    2,027.85x = 3,041.77 × 488.85
  4. Step 4: Simplify right side
    2,027.85x = 1,486,969.26
  5. Step 5: Solve for x
    x = 1,486,969.26/2,027.85
  6. Step 6: Final answer
    x = 733.27

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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.