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Finding the Fourth Proportional to 2,033.31, 3,048.60 and 734.61

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Solution

The fourth proportional to 2,033.31, 3,048.60 and 734.61 is: 1,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.31 : 3,048.60 = 734.61 : x
  2. Step 2: Convert to fraction form
    2,033.31/3,048.60 = 734.61/x
  3. Step 3: Cross multiply
    2,033.31x = 3,048.60 × 734.61
  4. Step 4: Simplify right side
    2,033.31x = 2,239,532.05
  5. Step 5: Solve for x
    x = 2,239,532.05/2,033.31
  6. Step 6: Final answer
    x = 1,101.42

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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.