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Finding the Fourth Proportional to 2,556.81, 3,832.11 and 1,168.20

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Solution

The fourth proportional to 2,556.81, 3,832.11 and 1,168.20 is: 1,750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.81 : 3,832.11 = 1,168.20 : x
  2. Step 2: Convert to fraction form
    2,556.81/3,832.11 = 1,168.20/x
  3. Step 3: Cross multiply
    2,556.81x = 3,832.11 × 1,168.20
  4. Step 4: Simplify right side
    2,556.81x = 4,476,670.90
  5. Step 5: Solve for x
    x = 4,476,670.90/2,556.81
  6. Step 6: Final answer
    x = 1,750.88

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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.