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Finding the Fourth Proportional to 2,189.76, 3,284.64 and 650.76

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Solution

The fourth proportional to 2,189.76, 3,284.64 and 650.76 is: 976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.76 : 3,284.64 = 650.76 : x
  2. Step 2: Convert to fraction form
    2,189.76/3,284.64 = 650.76/x
  3. Step 3: Cross multiply
    2,189.76x = 3,284.64 × 650.76
  4. Step 4: Simplify right side
    2,189.76x = 2,137,512.33
  5. Step 5: Solve for x
    x = 2,137,512.33/2,189.76
  6. Step 6: Final answer
    x = 976.14

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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.