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Finding the Fourth Proportional to 2,784.56, 3,843.32 and 1,605.84

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Solution

The fourth proportional to 2,784.56, 3,843.32 and 1,605.84 is: 2,216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.56 : 3,843.32 = 1,605.84 : x
  2. Step 2: Convert to fraction form
    2,784.56/3,843.32 = 1,605.84/x
  3. Step 3: Cross multiply
    2,784.56x = 3,843.32 × 1,605.84
  4. Step 4: Simplify right side
    2,784.56x = 6,171,756.99
  5. Step 5: Solve for x
    x = 6,171,756.99/2,784.56
  6. Step 6: Final answer
    x = 2,216.42

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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.