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Finding the Fourth Proportional to 2,698.44, 3,722.94 and 2,200.22

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Solution

The fourth proportional to 2,698.44, 3,722.94 and 2,200.22 is: 3,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.44 : 3,722.94 = 2,200.22 : x
  2. Step 2: Convert to fraction form
    2,698.44/3,722.94 = 2,200.22/x
  3. Step 3: Cross multiply
    2,698.44x = 3,722.94 × 2,200.22
  4. Step 4: Simplify right side
    2,698.44x = 8,191,287.05
  5. Step 5: Solve for x
    x = 8,191,287.05/2,698.44
  6. Step 6: Final answer
    x = 3,035.56

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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.