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Finding the Fourth Proportional to 2,783.85, 3,841.38 and 1,664.53

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Solution

The fourth proportional to 2,783.85, 3,841.38 and 1,664.53 is: 2,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.85 : 3,841.38 = 1,664.53 : x
  2. Step 2: Convert to fraction form
    2,783.85/3,841.38 = 1,664.53/x
  3. Step 3: Cross multiply
    2,783.85x = 3,841.38 × 1,664.53
  4. Step 4: Simplify right side
    2,783.85x = 6,394,092.25
  5. Step 5: Solve for x
    x = 6,394,092.25/2,783.85
  6. Step 6: Final answer
    x = 2,296.85

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Why These Related Problems?

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