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Finding the Fourth Proportional to 2,784.75, 3,843.42 and 1,605.63

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Solution

The fourth proportional to 2,784.75, 3,843.42 and 1,605.63 is: 2,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.75 : 3,843.42 = 1,605.63 : x
  2. Step 2: Convert to fraction form
    2,784.75/3,843.42 = 1,605.63/x
  3. Step 3: Cross multiply
    2,784.75x = 3,843.42 × 1,605.63
  4. Step 4: Simplify right side
    2,784.75x = 6,171,110.45
  5. Step 5: Solve for x
    x = 6,171,110.45/2,784.75
  6. Step 6: Final answer
    x = 2,216.04

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1.5x scale

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.