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Finding the Fourth Proportional to 3,027, 4,177.22 and 1,700.67

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Solution

The fourth proportional to 3,027, 4,177.22 and 1,700.67 is: 2,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027 : 4,177.22 = 1,700.67 : x
  2. Step 2: Convert to fraction form
    3,027/4,177.22 = 1,700.67/x
  3. Step 3: Cross multiply
    3,027x = 4,177.22 × 1,700.67
  4. Step 4: Simplify right side
    3,027x = 7,104,064.23
  5. Step 5: Solve for x
    x = 7,104,064.23/3,027
  6. Step 6: Final answer
    x = 2,346.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.