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Finding the Fourth Proportional to 1,344.24, 2,015.42 and 593.38

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Solution

The fourth proportional to 1,344.24, 2,015.42 and 593.38 is: 889.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.24 : 2,015.42 = 593.38 : x
  2. Step 2: Convert to fraction form
    1,344.24/2,015.42 = 593.38/x
  3. Step 3: Cross multiply
    1,344.24x = 2,015.42 × 593.38
  4. Step 4: Simplify right side
    1,344.24x = 1,195,906.95
  5. Step 5: Solve for x
    x = 1,195,906.95/1,344.24
  6. Step 6: Final answer
    x = 889.66

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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.