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Finding the Fourth Proportional to 2,126.73, 3,190.10 and 667.11

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Solution

The fourth proportional to 2,126.73, 3,190.10 and 667.11 is: 1,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.73 : 3,190.10 = 667.11 : x
  2. Step 2: Convert to fraction form
    2,126.73/3,190.10 = 667.11/x
  3. Step 3: Cross multiply
    2,126.73x = 3,190.10 × 667.11
  4. Step 4: Simplify right side
    2,126.73x = 2,128,144.28
  5. Step 5: Solve for x
    x = 2,128,144.28/2,126.73
  6. Step 6: Final answer
    x = 1,000.67

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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.