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Finding the Fourth Proportional to 2,194.82, 3,029.05 and 1,200.24

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Solution

The fourth proportional to 2,194.82, 3,029.05 and 1,200.24 is: 1,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.82 : 3,029.05 = 1,200.24 : x
  2. Step 2: Convert to fraction form
    2,194.82/3,029.05 = 1,200.24/x
  3. Step 3: Cross multiply
    2,194.82x = 3,029.05 × 1,200.24
  4. Step 4: Simplify right side
    2,194.82x = 3,635,586.97
  5. Step 5: Solve for x
    x = 3,635,586.97/2,194.82
  6. Step 6: Final answer
    x = 1,656.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.