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Finding the Fourth Proportional to 1,388.34, 2,084.34 and 1,273.73

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Solution

The fourth proportional to 1,388.34, 2,084.34 and 1,273.73 is: 1,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.34 : 2,084.34 = 1,273.73 : x
  2. Step 2: Convert to fraction form
    1,388.34/2,084.34 = 1,273.73/x
  3. Step 3: Cross multiply
    1,388.34x = 2,084.34 × 1,273.73
  4. Step 4: Simplify right side
    1,388.34x = 2,654,886.39
  5. Step 5: Solve for x
    x = 2,654,886.39/1,388.34
  6. Step 6: Final answer
    x = 1,912.27

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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.