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Finding the Fourth Proportional to 2,131.41, 3,191.21 and 1,609.84

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Solution

The fourth proportional to 2,131.41, 3,191.21 and 1,609.84 is: 2,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.41 : 3,191.21 = 1,609.84 : x
  2. Step 2: Convert to fraction form
    2,131.41/3,191.21 = 1,609.84/x
  3. Step 3: Cross multiply
    2,131.41x = 3,191.21 × 1,609.84
  4. Step 4: Simplify right side
    2,131.41x = 5,137,313.50
  5. Step 5: Solve for x
    x = 5,137,313.50/2,131.41
  6. Step 6: Final answer
    x = 2,410.29

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Why These Related Problems?

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