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Finding the Fourth Proportional to 1,351.42, 2,024.22 and 1,129.44

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Solution

The fourth proportional to 1,351.42, 2,024.22 and 1,129.44 is: 1,691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.42 : 2,024.22 = 1,129.44 : x
  2. Step 2: Convert to fraction form
    1,351.42/2,024.22 = 1,129.44/x
  3. Step 3: Cross multiply
    1,351.42x = 2,024.22 × 1,129.44
  4. Step 4: Simplify right side
    1,351.42x = 2,286,235.04
  5. Step 5: Solve for x
    x = 2,286,235.04/1,351.42
  6. Step 6: Final answer
    x = 1,691.73

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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.