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Finding the Fourth Proportional to 2,663.01, 3,993.86 and 1,181.40

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Solution

The fourth proportional to 2,663.01, 3,993.86 and 1,181.40 is: 1,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.01 : 3,993.86 = 1,181.40 : x
  2. Step 2: Convert to fraction form
    2,663.01/3,993.86 = 1,181.40/x
  3. Step 3: Cross multiply
    2,663.01x = 3,993.86 × 1,181.40
  4. Step 4: Simplify right side
    2,663.01x = 4,718,340.30
  5. Step 5: Solve for x
    x = 4,718,340.30/2,663.01
  6. Step 6: Final answer
    x = 1,771.81

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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.