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Finding the Fourth Proportional to 3,020.72, 4,530.67 and 1,171.67

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Solution

The fourth proportional to 3,020.72, 4,530.67 and 1,171.67 is: 1,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.72 : 4,530.67 = 1,171.67 : x
  2. Step 2: Convert to fraction form
    3,020.72/4,530.67 = 1,171.67/x
  3. Step 3: Cross multiply
    3,020.72x = 4,530.67 × 1,171.67
  4. Step 4: Simplify right side
    3,020.72x = 5,308,424.54
  5. Step 5: Solve for x
    x = 5,308,424.54/3,020.72
  6. Step 6: Final answer
    x = 1,757.34

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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.