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Finding the Fourth Proportional to 2,189.24, 3,283.85 and 650.24

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Solution

The fourth proportional to 2,189.24, 3,283.85 and 650.24 is: 975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.24 : 3,283.85 = 650.24 : x
  2. Step 2: Convert to fraction form
    2,189.24/3,283.85 = 650.24/x
  3. Step 3: Cross multiply
    2,189.24x = 3,283.85 × 650.24
  4. Step 4: Simplify right side
    2,189.24x = 2,135,274.20
  5. Step 5: Solve for x
    x = 2,135,274.20/2,189.24
  6. Step 6: Final answer
    x = 975.35

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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.