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Finding the Fourth Proportional to 2,047.92, 2,826.24 and 1,208.88

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Solution

The fourth proportional to 2,047.92, 2,826.24 and 1,208.88 is: 1,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.92 : 2,826.24 = 1,208.88 : x
  2. Step 2: Convert to fraction form
    2,047.92/2,826.24 = 1,208.88/x
  3. Step 3: Cross multiply
    2,047.92x = 2,826.24 × 1,208.88
  4. Step 4: Simplify right side
    2,047.92x = 3,416,585.01
  5. Step 5: Solve for x
    x = 3,416,585.01/2,047.92
  6. Step 6: Final answer
    x = 1,668.32

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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.