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Finding the Fourth Proportional to 3,146.73, 4,342.13 and 1,820.85

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Solution

The fourth proportional to 3,146.73, 4,342.13 and 1,820.85 is: 2,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.73 : 4,342.13 = 1,820.85 : x
  2. Step 2: Convert to fraction form
    3,146.73/4,342.13 = 1,820.85/x
  3. Step 3: Cross multiply
    3,146.73x = 4,342.13 × 1,820.85
  4. Step 4: Simplify right side
    3,146.73x = 7,906,336.60
  5. Step 5: Solve for x
    x = 7,906,336.60/3,146.73
  6. Step 6: Final answer
    x = 2,512.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.