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Finding the Fourth Proportional to 1,906.09, 2,632.20 and 1,802.56

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Solution

The fourth proportional to 1,906.09, 2,632.20 and 1,802.56 is: 2,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.09 : 2,632.20 = 1,802.56 : x
  2. Step 2: Convert to fraction form
    1,906.09/2,632.20 = 1,802.56/x
  3. Step 3: Cross multiply
    1,906.09x = 2,632.20 × 1,802.56
  4. Step 4: Simplify right side
    1,906.09x = 4,744,698.43
  5. Step 5: Solve for x
    x = 4,744,698.43/1,906.09
  6. Step 6: Final answer
    x = 2,489.23

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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.