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Finding the Fourth Proportional to 2,682.12, 4,019.92 and 1,139.88

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Solution

The fourth proportional to 2,682.12, 4,019.92 and 1,139.88 is: 1,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.12 : 4,019.92 = 1,139.88 : x
  2. Step 2: Convert to fraction form
    2,682.12/4,019.92 = 1,139.88/x
  3. Step 3: Cross multiply
    2,682.12x = 4,019.92 × 1,139.88
  4. Step 4: Simplify right side
    2,682.12x = 4,582,226.41
  5. Step 5: Solve for x
    x = 4,582,226.41/2,682.12
  6. Step 6: Final answer
    x = 1,708.43

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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.