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Finding the Fourth Proportional to 3,147.44, 4,342.64 and 1,821.20

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Solution

The fourth proportional to 3,147.44, 4,342.64 and 1,821.20 is: 2,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.44 : 4,342.64 = 1,821.20 : x
  2. Step 2: Convert to fraction form
    3,147.44/4,342.64 = 1,821.20/x
  3. Step 3: Cross multiply
    3,147.44x = 4,342.64 × 1,821.20
  4. Step 4: Simplify right side
    3,147.44x = 7,908,815.97
  5. Step 5: Solve for x
    x = 7,908,815.97/3,147.44
  6. Step 6: Final answer
    x = 2,512.78

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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.