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Finding the Fourth Proportional to 2,661.27, 3,993.93 and 1,201.43

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Solution

The fourth proportional to 2,661.27, 3,993.93 and 1,201.43 is: 1,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.27 : 3,993.93 = 1,201.43 : x
  2. Step 2: Convert to fraction form
    2,661.27/3,993.93 = 1,201.43/x
  3. Step 3: Cross multiply
    2,661.27x = 3,993.93 × 1,201.43
  4. Step 4: Simplify right side
    2,661.27x = 4,798,407.35
  5. Step 5: Solve for x
    x = 4,798,407.35/2,661.27
  6. Step 6: Final answer
    x = 1,803.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.