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Finding the Fourth Proportional to 3,162.30, 4,747.35 and 1,992.30

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Solution

The fourth proportional to 3,162.30, 4,747.35 and 1,992.30 is: 2,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.30 : 4,747.35 = 1,992.30 : x
  2. Step 2: Convert to fraction form
    3,162.30/4,747.35 = 1,992.30/x
  3. Step 3: Cross multiply
    3,162.30x = 4,747.35 × 1,992.30
  4. Step 4: Simplify right side
    3,162.30x = 9,458,145.41
  5. Step 5: Solve for x
    x = 9,458,145.41/3,162.30
  6. Step 6: Final answer
    x = 2,990.91

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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.