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Finding the Fourth Proportional to 2,512.02, 3,768.03 and 1,863.21

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Solution

The fourth proportional to 2,512.02, 3,768.03 and 1,863.21 is: 2,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.02 : 3,768.03 = 1,863.21 : x
  2. Step 2: Convert to fraction form
    2,512.02/3,768.03 = 1,863.21/x
  3. Step 3: Cross multiply
    2,512.02x = 3,768.03 × 1,863.21
  4. Step 4: Simplify right side
    2,512.02x = 7,020,624.11
  5. Step 5: Solve for x
    x = 7,020,624.11/2,512.02
  6. Step 6: Final answer
    x = 2,794.81

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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.