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Finding the Fourth Proportional to 2,823.80, 3,896.80 and 1,628.78

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Solution

The fourth proportional to 2,823.80, 3,896.80 and 1,628.78 is: 2,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.80 : 3,896.80 = 1,628.78 : x
  2. Step 2: Convert to fraction form
    2,823.80/3,896.80 = 1,628.78/x
  3. Step 3: Cross multiply
    2,823.80x = 3,896.80 × 1,628.78
  4. Step 4: Simplify right side
    2,823.80x = 6,347,035.57
  5. Step 5: Solve for x
    x = 6,347,035.57/2,823.80
  6. Step 6: Final answer
    x = 2,247.69

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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.