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Finding the Fourth Proportional to 2,194.76, 3,028.73 and 1,200.03

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Solution

The fourth proportional to 2,194.76, 3,028.73 and 1,200.03 is: 1,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.76 : 3,028.73 = 1,200.03 : x
  2. Step 2: Convert to fraction form
    2,194.76/3,028.73 = 1,200.03/x
  3. Step 3: Cross multiply
    2,194.76x = 3,028.73 × 1,200.03
  4. Step 4: Simplify right side
    2,194.76x = 3,634,560.86
  5. Step 5: Solve for x
    x = 3,634,560.86/2,194.76
  6. Step 6: Final answer
    x = 1,656.02

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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.