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Finding the Fourth Proportional to 2,033.08, 3,049.62 and 734.55

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Solution

The fourth proportional to 2,033.08, 3,049.62 and 734.55 is: 1,101.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.08 : 3,049.62 = 734.55 : x
  2. Step 2: Convert to fraction form
    2,033.08/3,049.62 = 734.55/x
  3. Step 3: Cross multiply
    2,033.08x = 3,049.62 × 734.55
  4. Step 4: Simplify right side
    2,033.08x = 2,240,098.37
  5. Step 5: Solve for x
    x = 2,240,098.37/2,033.08
  6. Step 6: Final answer
    x = 1,101.83

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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.