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Finding the Fourth Proportional to 1,837.06, 2,753.97 and 682

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Solution

The fourth proportional to 1,837.06, 2,753.97 and 682 is: 1,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.06 : 2,753.97 = 682 : x
  2. Step 2: Convert to fraction form
    1,837.06/2,753.97 = 682/x
  3. Step 3: Cross multiply
    1,837.06x = 2,753.97 × 682
  4. Step 4: Simplify right side
    1,837.06x = 1,878,207.54
  5. Step 5: Solve for x
    x = 1,878,207.54/1,837.06
  6. Step 6: Final answer
    x = 1,022.40

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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.