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Finding the Fourth Proportional to 2,194.94, 3,289.96 and 1,100.22

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Solution

The fourth proportional to 2,194.94, 3,289.96 and 1,100.22 is: 1,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.94 : 3,289.96 = 1,100.22 : x
  2. Step 2: Convert to fraction form
    2,194.94/3,289.96 = 1,100.22/x
  3. Step 3: Cross multiply
    2,194.94x = 3,289.96 × 1,100.22
  4. Step 4: Simplify right side
    2,194.94x = 3,619,679.79
  5. Step 5: Solve for x
    x = 3,619,679.79/2,194.94
  6. Step 6: Final answer
    x = 1,649.10

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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.