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Finding the Fourth Proportional to 2,783.44, 3,841.05 and 1,604.26

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Solution

The fourth proportional to 2,783.44, 3,841.05 and 1,604.26 is: 2,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.44 : 3,841.05 = 1,604.26 : x
  2. Step 2: Convert to fraction form
    2,783.44/3,841.05 = 1,604.26/x
  3. Step 3: Cross multiply
    2,783.44x = 3,841.05 × 1,604.26
  4. Step 4: Simplify right side
    2,783.44x = 6,162,042.87
  5. Step 5: Solve for x
    x = 6,162,042.87/2,783.44
  6. Step 6: Final answer
    x = 2,213.82

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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.