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Finding the Fourth Proportional to 1,680.39, 2,520.60 and 814.50

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Solution

The fourth proportional to 1,680.39, 2,520.60 and 814.50 is: 1,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.39 : 2,520.60 = 814.50 : x
  2. Step 2: Convert to fraction form
    1,680.39/2,520.60 = 814.50/x
  3. Step 3: Cross multiply
    1,680.39x = 2,520.60 × 814.50
  4. Step 4: Simplify right side
    1,680.39x = 2,053,028.70
  5. Step 5: Solve for x
    x = 2,053,028.70/1,680.39
  6. Step 6: Final answer
    x = 1,221.76

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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.