Final answer:
To convert an infant's weight from grams to kilograms using the ratio and proportion method, set up the proportion 1000 g / 1 kg = 3400 g / x kg. Cross multiply to find x, which represents the infant's weight in kilograms, arriving at x = 3.4 kg.
Step-by-step explanation:
To determine the weight of an infant in kilograms using the ratio and proportion method, you would set up the following equation:
1 kg = 1000 g
We know the infant weighs 3400 g, so we set up the proportion like this:
1000 g / 1 kg = 3400 g / x kg
Now we cross multiply to solve for x:
1000 g × x kg = 3400 g × 1 kg
Which simplifies to:
x = 3400 g / 1000 g/kg
x = 3.4 kg
This means the infant weighs 3.4 kilograms. It's important to express the units in a small and manageable number for ease of interpretation, unless a specific problem requires a different unit like grams for consistency.