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Finding the Fourth Proportional to 2,073.72, 3,106.67 and 1,609.23

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Solution

The fourth proportional to 2,073.72, 3,106.67 and 1,609.23 is: 2,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.72 : 3,106.67 = 1,609.23 : x
  2. Step 2: Convert to fraction form
    2,073.72/3,106.67 = 1,609.23/x
  3. Step 3: Cross multiply
    2,073.72x = 3,106.67 × 1,609.23
  4. Step 4: Simplify right side
    2,073.72x = 4,999,346.56
  5. Step 5: Solve for x
    x = 4,999,346.56/2,073.72
  6. Step 6: Final answer
    x = 2,410.81

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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.