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Finding the Fourth Proportional to 2,194.77, 3,028.79 and 1,200.06

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Solution

The fourth proportional to 2,194.77, 3,028.79 and 1,200.06 is: 1,656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.77 : 3,028.79 = 1,200.06 : x
  2. Step 2: Convert to fraction form
    2,194.77/3,028.79 = 1,200.06/x
  3. Step 3: Cross multiply
    2,194.77x = 3,028.79 × 1,200.06
  4. Step 4: Simplify right side
    2,194.77x = 3,634,729.73
  5. Step 5: Solve for x
    x = 3,634,729.73/2,194.77
  6. Step 6: Final answer
    x = 1,656.09

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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.