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Finding the Fourth Proportional to 2,073.56, 3,106.39 and 1,609.05

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Solution

The fourth proportional to 2,073.56, 3,106.39 and 1,609.05 is: 2,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.56 : 3,106.39 = 1,609.05 : x
  2. Step 2: Convert to fraction form
    2,073.56/3,106.39 = 1,609.05/x
  3. Step 3: Cross multiply
    2,073.56x = 3,106.39 × 1,609.05
  4. Step 4: Simplify right side
    2,073.56x = 4,998,336.83
  5. Step 5: Solve for x
    x = 4,998,336.83/2,073.56
  6. Step 6: Final answer
    x = 2,410.51

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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.