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Finding the Fourth Proportional to 3,290.27, 4,936.78 and 1,440.44

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Solution

The fourth proportional to 3,290.27, 4,936.78 and 1,440.44 is: 2,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.27 : 4,936.78 = 1,440.44 : x
  2. Step 2: Convert to fraction form
    3,290.27/4,936.78 = 1,440.44/x
  3. Step 3: Cross multiply
    3,290.27x = 4,936.78 × 1,440.44
  4. Step 4: Simplify right side
    3,290.27x = 7,111,103.50
  5. Step 5: Solve for x
    x = 7,111,103.50/3,290.27
  6. Step 6: Final answer
    x = 2,161.25

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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.