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Finding the Fourth Proportional to 2,784.52, 3,843.08 and 1,605.97

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Solution

The fourth proportional to 2,784.52, 3,843.08 and 1,605.97 is: 2,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.52 : 3,843.08 = 1,605.97 : x
  2. Step 2: Convert to fraction form
    2,784.52/3,843.08 = 1,605.97/x
  3. Step 3: Cross multiply
    2,784.52x = 3,843.08 × 1,605.97
  4. Step 4: Simplify right side
    2,784.52x = 6,171,871.19
  5. Step 5: Solve for x
    x = 6,171,871.19/2,784.52
  6. Step 6: Final answer
    x = 2,216.49

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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.