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Finding the Fourth Proportional to 2,105.65, 2,905.91 and 1,221.67

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Solution

The fourth proportional to 2,105.65, 2,905.91 and 1,221.67 is: 1,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.65 : 2,905.91 = 1,221.67 : x
  2. Step 2: Convert to fraction form
    2,105.65/2,905.91 = 1,221.67/x
  3. Step 3: Cross multiply
    2,105.65x = 2,905.91 × 1,221.67
  4. Step 4: Simplify right side
    2,105.65x = 3,550,063.07
  5. Step 5: Solve for x
    x = 3,550,063.07/2,105.65
  6. Step 6: Final answer
    x = 1,685.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.