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Finding the Fourth Proportional to 1,768.02, 2,651.11 and 793.28

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Solution

The fourth proportional to 1,768.02, 2,651.11 and 793.28 is: 1,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.02 : 2,651.11 = 793.28 : x
  2. Step 2: Convert to fraction form
    1,768.02/2,651.11 = 793.28/x
  3. Step 3: Cross multiply
    1,768.02x = 2,651.11 × 793.28
  4. Step 4: Simplify right side
    1,768.02x = 2,103,072.54
  5. Step 5: Solve for x
    x = 2,103,072.54/1,768.02
  6. Step 6: Final answer
    x = 1,189.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.