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Finding the Fourth Proportional to 2,768.94, 3,817.46 and 2,237.22

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Solution

The fourth proportional to 2,768.94, 3,817.46 and 2,237.22 is: 3,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.94 : 3,817.46 = 2,237.22 : x
  2. Step 2: Convert to fraction form
    2,768.94/3,817.46 = 2,237.22/x
  3. Step 3: Cross multiply
    2,768.94x = 3,817.46 × 2,237.22
  4. Step 4: Simplify right side
    2,768.94x = 8,540,497.86
  5. Step 5: Solve for x
    x = 8,540,497.86/2,768.94
  6. Step 6: Final answer
    x = 3,084.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.