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Finding the Fourth Proportional to 2,189.49, 3,284.23 and 650.49

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Solution

The fourth proportional to 2,189.49, 3,284.23 and 650.49 is: 975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.49 : 3,284.23 = 650.49 : x
  2. Step 2: Convert to fraction form
    2,189.49/3,284.23 = 650.49/x
  3. Step 3: Cross multiply
    2,189.49x = 3,284.23 × 650.49
  4. Step 4: Simplify right side
    2,189.49x = 2,136,357.15
  5. Step 5: Solve for x
    x = 2,136,357.15/2,189.49
  6. Step 6: Final answer
    x = 975.73

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Half scale
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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.