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Finding the Fourth Proportional to 1,803.09, 2,707.73 and 982.97

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Solution

The fourth proportional to 1,803.09, 2,707.73 and 982.97 is: 1,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.09 : 2,707.73 = 982.97 : x
  2. Step 2: Convert to fraction form
    1,803.09/2,707.73 = 982.97/x
  3. Step 3: Cross multiply
    1,803.09x = 2,707.73 × 982.97
  4. Step 4: Simplify right side
    1,803.09x = 2,661,617.36
  5. Step 5: Solve for x
    x = 2,661,617.36/1,803.09
  6. Step 6: Final answer
    x = 1,476.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.