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Finding the Fourth Proportional to 2,029.38, 3,042.26 and 797.67

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Solution

The fourth proportional to 2,029.38, 3,042.26 and 797.67 is: 1,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.38 : 3,042.26 = 797.67 : x
  2. Step 2: Convert to fraction form
    2,029.38/3,042.26 = 797.67/x
  3. Step 3: Cross multiply
    2,029.38x = 3,042.26 × 797.67
  4. Step 4: Simplify right side
    2,029.38x = 2,426,715.55
  5. Step 5: Solve for x
    x = 2,426,715.55/2,029.38
  6. Step 6: Final answer
    x = 1,195.79

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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.