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Finding the Fourth Proportional to 1,996.03, 2,754.23 and 1,156.67

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Solution

The fourth proportional to 1,996.03, 2,754.23 and 1,156.67 is: 1,596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.03 : 2,754.23 = 1,156.67 : x
  2. Step 2: Convert to fraction form
    1,996.03/2,754.23 = 1,156.67/x
  3. Step 3: Cross multiply
    1,996.03x = 2,754.23 × 1,156.67
  4. Step 4: Simplify right side
    1,996.03x = 3,185,735.21
  5. Step 5: Solve for x
    x = 3,185,735.21/1,996.03
  6. Step 6: Final answer
    x = 1,596.04

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