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Finding the Fourth Proportional to 1,474.49, 2,212.26 and 743.51

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Solution

The fourth proportional to 1,474.49, 2,212.26 and 743.51 is: 1,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.49 : 2,212.26 = 743.51 : x
  2. Step 2: Convert to fraction form
    1,474.49/2,212.26 = 743.51/x
  3. Step 3: Cross multiply
    1,474.49x = 2,212.26 × 743.51
  4. Step 4: Simplify right side
    1,474.49x = 1,644,837.42
  5. Step 5: Solve for x
    x = 1,644,837.42/1,474.49
  6. Step 6: Final answer
    x = 1,115.53

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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.