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Finding the Fourth Proportional to 2,112.81, 3,170.42 and 1,072.87

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Solution

The fourth proportional to 2,112.81, 3,170.42 and 1,072.87 is: 1,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.81 : 3,170.42 = 1,072.87 : x
  2. Step 2: Convert to fraction form
    2,112.81/3,170.42 = 1,072.87/x
  3. Step 3: Cross multiply
    2,112.81x = 3,170.42 × 1,072.87
  4. Step 4: Simplify right side
    2,112.81x = 3,401,445.14
  5. Step 5: Solve for x
    x = 3,401,445.14/2,112.81
  6. Step 6: Final answer
    x = 1,609.92

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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.