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Finding the Fourth Proportional to 1,992.32, 2,993.79 and 1,019.06

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Solution

The fourth proportional to 1,992.32, 2,993.79 and 1,019.06 is: 1,531.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.32 : 2,993.79 = 1,019.06 : x
  2. Step 2: Convert to fraction form
    1,992.32/2,993.79 = 1,019.06/x
  3. Step 3: Cross multiply
    1,992.32x = 2,993.79 × 1,019.06
  4. Step 4: Simplify right side
    1,992.32x = 3,050,851.64
  5. Step 5: Solve for x
    x = 3,050,851.64/1,992.32
  6. Step 6: Final answer
    x = 1,531.31

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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.