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Finding the Fourth Proportional to 2,033.73, 3,048.74 and 734.89

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Solution

The fourth proportional to 2,033.73, 3,048.74 and 734.89 is: 1,101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.73 : 3,048.74 = 734.89 : x
  2. Step 2: Convert to fraction form
    2,033.73/3,048.74 = 734.89/x
  3. Step 3: Cross multiply
    2,033.73x = 3,048.74 × 734.89
  4. Step 4: Simplify right side
    2,033.73x = 2,240,488.54
  5. Step 5: Solve for x
    x = 2,240,488.54/2,033.73
  6. Step 6: Final answer
    x = 1,101.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.