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Finding the Fourth Proportional to 4,796.70, 7,195.17 and 1,680.30

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Solution

The fourth proportional to 4,796.70, 7,195.17 and 1,680.30 is: 2,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.70 : 7,195.17 = 1,680.30 : x
  2. Step 2: Convert to fraction form
    4,796.70/7,195.17 = 1,680.30/x
  3. Step 3: Cross multiply
    4,796.70x = 7,195.17 × 1,680.30
  4. Step 4: Simplify right side
    4,796.70x = 12,090,044.15
  5. Step 5: Solve for x
    x = 12,090,044.15/4,796.70
  6. Step 6: Final answer
    x = 2,520.49

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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.