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Finding the Fourth Proportional to 2,200.32, 3,300.69 and 640.33

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Solution

The fourth proportional to 2,200.32, 3,300.69 and 640.33 is: 960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.32 : 3,300.69 = 640.33 : x
  2. Step 2: Convert to fraction form
    2,200.32/3,300.69 = 640.33/x
  3. Step 3: Cross multiply
    2,200.32x = 3,300.69 × 640.33
  4. Step 4: Simplify right side
    2,200.32x = 2,113,527.63
  5. Step 5: Solve for x
    x = 2,113,527.63/2,200.32
  6. Step 6: Final answer
    x = 960.56

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