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Finding the Fourth Proportional to 2,029.23, 3,042.83 and 932.67

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Solution

The fourth proportional to 2,029.23, 3,042.83 and 932.67 is: 1,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.23 : 3,042.83 = 932.67 : x
  2. Step 2: Convert to fraction form
    2,029.23/3,042.83 = 932.67/x
  3. Step 3: Cross multiply
    2,029.23x = 3,042.83 × 932.67
  4. Step 4: Simplify right side
    2,029.23x = 2,837,951.59
  5. Step 5: Solve for x
    x = 2,837,951.59/2,029.23
  6. Step 6: Final answer
    x = 1,398.54

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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.