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Finding the Fourth Proportional to 2,174.31, 3,262.31 and 1,019.25

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Solution

The fourth proportional to 2,174.31, 3,262.31 and 1,019.25 is: 1,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.31 : 3,262.31 = 1,019.25 : x
  2. Step 2: Convert to fraction form
    2,174.31/3,262.31 = 1,019.25/x
  3. Step 3: Cross multiply
    2,174.31x = 3,262.31 × 1,019.25
  4. Step 4: Simplify right side
    2,174.31x = 3,325,104.37
  5. Step 5: Solve for x
    x = 3,325,104.37/2,174.31
  6. Step 6: Final answer
    x = 1,529.27

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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.