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Finding the Fourth Proportional to 1,837.23, 2,755.87 and 538.73

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Solution

The fourth proportional to 1,837.23, 2,755.87 and 538.73 is: 808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.23 : 2,755.87 = 538.73 : x
  2. Step 2: Convert to fraction form
    1,837.23/2,755.87 = 538.73/x
  3. Step 3: Cross multiply
    1,837.23x = 2,755.87 × 538.73
  4. Step 4: Simplify right side
    1,837.23x = 1,484,654.72
  5. Step 5: Solve for x
    x = 1,484,654.72/1,837.23
  6. Step 6: Final answer
    x = 808.09

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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.