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Finding the Fourth Proportional to 3,042.25, 4,563.37 and 733.75

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Solution

The fourth proportional to 3,042.25, 4,563.37 and 733.75 is: 1,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.25 : 4,563.37 = 733.75 : x
  2. Step 2: Convert to fraction form
    3,042.25/4,563.37 = 733.75/x
  3. Step 3: Cross multiply
    3,042.25x = 4,563.37 × 733.75
  4. Step 4: Simplify right side
    3,042.25x = 3,348,372.74
  5. Step 5: Solve for x
    x = 3,348,372.74/3,042.25
  6. Step 6: Final answer
    x = 1,100.62

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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.