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Finding the Fourth Proportional to 2,524.41, 3,786.98 and 793.17

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Solution

The fourth proportional to 2,524.41, 3,786.98 and 793.17 is: 1,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.41 : 3,786.98 = 793.17 : x
  2. Step 2: Convert to fraction form
    2,524.41/3,786.98 = 793.17/x
  3. Step 3: Cross multiply
    2,524.41x = 3,786.98 × 793.17
  4. Step 4: Simplify right side
    2,524.41x = 3,003,714.96
  5. Step 5: Solve for x
    x = 3,003,714.96/2,524.41
  6. Step 6: Final answer
    x = 1,189.87

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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.