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Finding the Fourth Proportional to 2,806.56, 3,873 and 1,758.60

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Solution

The fourth proportional to 2,806.56, 3,873 and 1,758.60 is: 2,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.56 : 3,873 = 1,758.60 : x
  2. Step 2: Convert to fraction form
    2,806.56/3,873 = 1,758.60/x
  3. Step 3: Cross multiply
    2,806.56x = 3,873 × 1,758.60
  4. Step 4: Simplify right side
    2,806.56x = 6,811,057.80
  5. Step 5: Solve for x
    x = 6,811,057.80/2,806.56
  6. Step 6: Final answer
    x = 2,426.83

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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.