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Finding the Fourth Proportional to 1,630.26, 2,446.64 and 850.46

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Solution

The fourth proportional to 1,630.26, 2,446.64 and 850.46 is: 1,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.26 : 2,446.64 = 850.46 : x
  2. Step 2: Convert to fraction form
    1,630.26/2,446.64 = 850.46/x
  3. Step 3: Cross multiply
    1,630.26x = 2,446.64 × 850.46
  4. Step 4: Simplify right side
    1,630.26x = 2,080,769.45
  5. Step 5: Solve for x
    x = 2,080,769.45/1,630.26
  6. Step 6: Final answer
    x = 1,276.34

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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.