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Finding the Fourth Proportional to 2,048.56, 2,826.97 and 1,209.29

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Solution

The fourth proportional to 2,048.56, 2,826.97 and 1,209.29 is: 1,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.56 : 2,826.97 = 1,209.29 : x
  2. Step 2: Convert to fraction form
    2,048.56/2,826.97 = 1,209.29/x
  3. Step 3: Cross multiply
    2,048.56x = 2,826.97 × 1,209.29
  4. Step 4: Simplify right side
    2,048.56x = 3,418,609.39
  5. Step 5: Solve for x
    x = 3,418,609.39/2,048.56
  6. Step 6: Final answer
    x = 1,668.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.