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Finding the Fourth Proportional to 1,806.74, 2,708.28 and 983.31

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Solution

The fourth proportional to 1,806.74, 2,708.28 and 983.31 is: 1,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.74 : 2,708.28 = 983.31 : x
  2. Step 2: Convert to fraction form
    1,806.74/2,708.28 = 983.31/x
  3. Step 3: Cross multiply
    1,806.74x = 2,708.28 × 983.31
  4. Step 4: Simplify right side
    1,806.74x = 2,663,078.81
  5. Step 5: Solve for x
    x = 2,663,078.81/1,806.74
  6. Step 6: Final answer
    x = 1,473.97

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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.