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Finding the Fourth Proportional to 2,255.25, 3,382.93 and 774.47

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Solution

The fourth proportional to 2,255.25, 3,382.93 and 774.47 is: 1,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.25 : 3,382.93 = 774.47 : x
  2. Step 2: Convert to fraction form
    2,255.25/3,382.93 = 774.47/x
  3. Step 3: Cross multiply
    2,255.25x = 3,382.93 × 774.47
  4. Step 4: Simplify right side
    2,255.25x = 2,619,970.18
  5. Step 5: Solve for x
    x = 2,619,970.18/2,255.25
  6. Step 6: Final answer
    x = 1,161.72

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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.