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Finding the Fourth Proportional to 4,146.48, 6,221.43 and 1,680.68

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Solution

The fourth proportional to 4,146.48, 6,221.43 and 1,680.68 is: 2,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.48 : 6,221.43 = 1,680.68 : x
  2. Step 2: Convert to fraction form
    4,146.48/6,221.43 = 1,680.68/x
  3. Step 3: Cross multiply
    4,146.48x = 6,221.43 × 1,680.68
  4. Step 4: Simplify right side
    4,146.48x = 10,456,201.87
  5. Step 5: Solve for x
    x = 10,456,201.87/4,146.48
  6. Step 6: Final answer
    x = 2,521.71

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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.