The chemical fertilizer plant plans to produce 2,184 tons of chemical fertilizers throughout the year, and the annual task was completed in the first quarter (5/12). It is known that the average monthly production increase of 20% in the first three months of the first quarter, how many tons of chemical fertilizers were produced in January?
化肥厂全年计划生产化肥2184吨，第一季度就完成了全年任务的(5/12)．已知第一季度三个月平均每月增产20%，问元月份生产了多少吨化肥？
<gadget id="calculator">5 / 12</gadget>
<output>5/12 = around 0.416667</output>

<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>

<gadget id="calculator">(6/5) * (6/5)</gadget>
<output>36/25 = around 1.44</output>

<gadget id="calculator">1 + 1 + (1/5) + (36/25)</gadget>
<output>91/25 = around 3.64</output>

<gadget id="calculator">(5/12) / (91/25)</gadget>
<output>125/1_092 = around 0.114469</output>

<gadget id="calculator">2_184 * (125/1_092)</gadget>
<output>250</output>

<result>250</result>