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Finding the Fourth Proportional to 2,609.48, 3,908.73 and 1,876.83

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Solution

The fourth proportional to 2,609.48, 3,908.73 and 1,876.83 is: 2,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.48 : 3,908.73 = 1,876.83 : x
  2. Step 2: Convert to fraction form
    2,609.48/3,908.73 = 1,876.83/x
  3. Step 3: Cross multiply
    2,609.48x = 3,908.73 × 1,876.83
  4. Step 4: Simplify right side
    2,609.48x = 7,336,021.73
  5. Step 5: Solve for x
    x = 7,336,021.73/2,609.48
  6. Step 6: Final answer
    x = 2,811.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.