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Finding the Fourth Proportional to 2,028.24, 3,041.26 and 641.18

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Solution

The fourth proportional to 2,028.24, 3,041.26 and 641.18 is: 961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.24 : 3,041.26 = 641.18 : x
  2. Step 2: Convert to fraction form
    2,028.24/3,041.26 = 641.18/x
  3. Step 3: Cross multiply
    2,028.24x = 3,041.26 × 641.18
  4. Step 4: Simplify right side
    2,028.24x = 1,950,001.09
  5. Step 5: Solve for x
    x = 1,950,001.09/2,028.24
  6. Step 6: Final answer
    x = 961.43

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1.5x scale

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.