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Finding the Fourth Proportional to 3,190.75, 4,786.11 and 999.47

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Solution

The fourth proportional to 3,190.75, 4,786.11 and 999.47 is: 1,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.75 : 4,786.11 = 999.47 : x
  2. Step 2: Convert to fraction form
    3,190.75/4,786.11 = 999.47/x
  3. Step 3: Cross multiply
    3,190.75x = 4,786.11 × 999.47
  4. Step 4: Simplify right side
    3,190.75x = 4,783,573.36
  5. Step 5: Solve for x
    x = 4,783,573.36/3,190.75
  6. Step 6: Final answer
    x = 1,499.20

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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.