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Finding the Fourth Proportional to 2,033.07, 3,049.81 and 734.64

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Solution

The fourth proportional to 2,033.07, 3,049.81 and 734.64 is: 1,102.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.07 : 3,049.81 = 734.64 : x
  2. Step 2: Convert to fraction form
    2,033.07/3,049.81 = 734.64/x
  3. Step 3: Cross multiply
    2,033.07x = 3,049.81 × 734.64
  4. Step 4: Simplify right side
    2,033.07x = 2,240,510.58
  5. Step 5: Solve for x
    x = 2,240,510.58/2,033.07
  6. Step 6: Final answer
    x = 1,102.03

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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.