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Finding the Fourth Proportional to 2,788.05, 3,847.47 and 1,609.50

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Solution

The fourth proportional to 2,788.05, 3,847.47 and 1,609.50 is: 2,221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.05 : 3,847.47 = 1,609.50 : x
  2. Step 2: Convert to fraction form
    2,788.05/3,847.47 = 1,609.50/x
  3. Step 3: Cross multiply
    2,788.05x = 3,847.47 × 1,609.50
  4. Step 4: Simplify right side
    2,788.05x = 6,192,502.97
  5. Step 5: Solve for x
    x = 6,192,502.97/2,788.05
  6. Step 6: Final answer
    x = 2,221.09

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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.