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Finding the Fourth Proportional to 2,794.94, 3,857.12 and 1,600.14

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Solution

The fourth proportional to 2,794.94, 3,857.12 and 1,600.14 is: 2,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.94 : 3,857.12 = 1,600.14 : x
  2. Step 2: Convert to fraction form
    2,794.94/3,857.12 = 1,600.14/x
  3. Step 3: Cross multiply
    2,794.94x = 3,857.12 × 1,600.14
  4. Step 4: Simplify right side
    2,794.94x = 6,171,932.00
  5. Step 5: Solve for x
    x = 6,171,932.00/2,794.94
  6. Step 6: Final answer
    x = 2,208.25

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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.