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Finding the Fourth Proportional to 1,524.46, 2,286.24 and 793.64

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Solution

The fourth proportional to 1,524.46, 2,286.24 and 793.64 is: 1,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.46 : 2,286.24 = 793.64 : x
  2. Step 2: Convert to fraction form
    1,524.46/2,286.24 = 793.64/x
  3. Step 3: Cross multiply
    1,524.46x = 2,286.24 × 793.64
  4. Step 4: Simplify right side
    1,524.46x = 1,814,451.51
  5. Step 5: Solve for x
    x = 1,814,451.51/1,524.46
  6. Step 6: Final answer
    x = 1,190.23

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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.