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Finding the Fourth Proportional to 2,012.89, 3,019.82 and 842.24

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Solution

The fourth proportional to 2,012.89, 3,019.82 and 842.24 is: 1,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.89 : 3,019.82 = 842.24 : x
  2. Step 2: Convert to fraction form
    2,012.89/3,019.82 = 842.24/x
  3. Step 3: Cross multiply
    2,012.89x = 3,019.82 × 842.24
  4. Step 4: Simplify right side
    2,012.89x = 2,543,421.27
  5. Step 5: Solve for x
    x = 2,543,421.27/2,012.89
  6. Step 6: Final answer
    x = 1,263.57

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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.