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Finding the Fourth Proportional to 2,661.23, 3,992.12 and 1,019.15

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Solution

The fourth proportional to 2,661.23, 3,992.12 and 1,019.15 is: 1,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.23 : 3,992.12 = 1,019.15 : x
  2. Step 2: Convert to fraction form
    2,661.23/3,992.12 = 1,019.15/x
  3. Step 3: Cross multiply
    2,661.23x = 3,992.12 × 1,019.15
  4. Step 4: Simplify right side
    2,661.23x = 4,068,544.04
  5. Step 5: Solve for x
    x = 4,068,544.04/2,661.23
  6. Step 6: Final answer
    x = 1,528.82

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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.