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Finding the Fourth Proportional to 3,042.23, 4,563.34 and 733.73

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Solution

The fourth proportional to 3,042.23, 4,563.34 and 733.73 is: 1,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.23 : 4,563.34 = 733.73 : x
  2. Step 2: Convert to fraction form
    3,042.23/4,563.34 = 733.73/x
  3. Step 3: Cross multiply
    3,042.23x = 4,563.34 × 733.73
  4. Step 4: Simplify right side
    3,042.23x = 3,348,259.46
  5. Step 5: Solve for x
    x = 3,348,259.46/3,042.23
  6. Step 6: Final answer
    x = 1,100.59

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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.