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Finding the Fourth Proportional to 2,523.40, 3,786.57 and 1,062.44

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Solution

The fourth proportional to 2,523.40, 3,786.57 and 1,062.44 is: 1,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.40 : 3,786.57 = 1,062.44 : x
  2. Step 2: Convert to fraction form
    2,523.40/3,786.57 = 1,062.44/x
  3. Step 3: Cross multiply
    2,523.40x = 3,786.57 × 1,062.44
  4. Step 4: Simplify right side
    2,523.40x = 4,023,003.43
  5. Step 5: Solve for x
    x = 4,023,003.43/2,523.40
  6. Step 6: Final answer
    x = 1,594.28

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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.