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Finding the Fourth Proportional to 2,255.04, 3,382.73 and 774.37

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Solution

The fourth proportional to 2,255.04, 3,382.73 and 774.37 is: 1,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.04 : 3,382.73 = 774.37 : x
  2. Step 2: Convert to fraction form
    2,255.04/3,382.73 = 774.37/x
  3. Step 3: Cross multiply
    2,255.04x = 3,382.73 × 774.37
  4. Step 4: Simplify right side
    2,255.04x = 2,619,493.09
  5. Step 5: Solve for x
    x = 2,619,493.09/2,255.04
  6. Step 6: Final answer
    x = 1,161.62

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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.