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Finding the Fourth Proportional to 2,047.94, 2,826.36 and 1,208.92

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Solution

The fourth proportional to 2,047.94, 2,826.36 and 1,208.92 is: 1,668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.94 : 2,826.36 = 1,208.92 : x
  2. Step 2: Convert to fraction form
    2,047.94/2,826.36 = 1,208.92/x
  3. Step 3: Cross multiply
    2,047.94x = 2,826.36 × 1,208.92
  4. Step 4: Simplify right side
    2,047.94x = 3,416,843.13
  5. Step 5: Solve for x
    x = 3,416,843.13/2,047.94
  6. Step 6: Final answer
    x = 1,668.43

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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.