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Finding the Fourth Proportional to 2,738.72, 4,108.08 and 2,194.33

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Solution

The fourth proportional to 2,738.72, 4,108.08 and 2,194.33 is: 3,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.72 : 4,108.08 = 2,194.33 : x
  2. Step 2: Convert to fraction form
    2,738.72/4,108.08 = 2,194.33/x
  3. Step 3: Cross multiply
    2,738.72x = 4,108.08 × 2,194.33
  4. Step 4: Simplify right side
    2,738.72x = 9,014,483.19
  5. Step 5: Solve for x
    x = 9,014,483.19/2,738.72
  6. Step 6: Final answer
    x = 3,291.50

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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.