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Finding the Fourth Proportional to 2,784.38, 3,842.44 and 1,605.83

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Solution

The fourth proportional to 2,784.38, 3,842.44 and 1,605.83 is: 2,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.38 : 3,842.44 = 1,605.83 : x
  2. Step 2: Convert to fraction form
    2,784.38/3,842.44 = 1,605.83/x
  3. Step 3: Cross multiply
    2,784.38x = 3,842.44 × 1,605.83
  4. Step 4: Simplify right side
    2,784.38x = 6,170,282.20
  5. Step 5: Solve for x
    x = 6,170,282.20/2,784.38
  6. Step 6: Final answer
    x = 2,216.04

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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.