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Finding the Fourth Proportional to 2,704.54, 3,733.98 and 2,208.36

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Solution

The fourth proportional to 2,704.54, 3,733.98 and 2,208.36 is: 3,048.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.54 : 3,733.98 = 2,208.36 : x
  2. Step 2: Convert to fraction form
    2,704.54/3,733.98 = 2,208.36/x
  3. Step 3: Cross multiply
    2,704.54x = 3,733.98 × 2,208.36
  4. Step 4: Simplify right side
    2,704.54x = 8,245,972.07
  5. Step 5: Solve for x
    x = 8,245,972.07/2,704.54
  6. Step 6: Final answer
    x = 3,048.94

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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.