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Finding the Fourth Proportional to 4,270.67, 6,401.68 and 1,768.40

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Solution

The fourth proportional to 4,270.67, 6,401.68 and 1,768.40 is: 2,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.67 : 6,401.68 = 1,768.40 : x
  2. Step 2: Convert to fraction form
    4,270.67/6,401.68 = 1,768.40/x
  3. Step 3: Cross multiply
    4,270.67x = 6,401.68 × 1,768.40
  4. Step 4: Simplify right side
    4,270.67x = 11,320,749.13
  5. Step 5: Solve for x
    x = 11,320,749.13/4,270.67
  6. Step 6: Final answer
    x = 2,650.81

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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.