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Finding the Fourth Proportional to 2,106.50, 2,906.99 and 1,162.33

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Solution

The fourth proportional to 2,106.50, 2,906.99 and 1,162.33 is: 1,604.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.50 : 2,906.99 = 1,162.33 : x
  2. Step 2: Convert to fraction form
    2,106.50/2,906.99 = 1,162.33/x
  3. Step 3: Cross multiply
    2,106.50x = 2,906.99 × 1,162.33
  4. Step 4: Simplify right side
    2,106.50x = 3,378,881.69
  5. Step 5: Solve for x
    x = 3,378,881.69/2,106.50
  6. Step 6: Final answer
    x = 1,604.03

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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.