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Finding the Fourth Proportional to 2,794.74, 3,857.46 and 1,616.52

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Solution

The fourth proportional to 2,794.74, 3,857.46 and 1,616.52 is: 2,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.74 : 3,857.46 = 1,616.52 : x
  2. Step 2: Convert to fraction form
    2,794.74/3,857.46 = 1,616.52/x
  3. Step 3: Cross multiply
    2,794.74x = 3,857.46 × 1,616.52
  4. Step 4: Simplify right side
    2,794.74x = 6,235,661.24
  5. Step 5: Solve for x
    x = 6,235,661.24/2,794.74
  6. Step 6: Final answer
    x = 2,231.21

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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.