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Finding the Fourth Proportional to 1,806.73, 2,707.80 and 983.26

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Solution

The fourth proportional to 1,806.73, 2,707.80 and 983.26 is: 1,473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.73 : 2,707.80 = 983.26 : x
  2. Step 2: Convert to fraction form
    1,806.73/2,707.80 = 983.26/x
  3. Step 3: Cross multiply
    1,806.73x = 2,707.80 × 983.26
  4. Step 4: Simplify right side
    1,806.73x = 2,662,471.43
  5. Step 5: Solve for x
    x = 2,662,471.43/1,806.73
  6. Step 6: Final answer
    x = 1,473.64

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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.