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Finding the Fourth Proportional to 3,412.70, 4,709.64 and 1,996.18

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Solution

The fourth proportional to 3,412.70, 4,709.64 and 1,996.18 is: 2,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.70 : 4,709.64 = 1,996.18 : x
  2. Step 2: Convert to fraction form
    3,412.70/4,709.64 = 1,996.18/x
  3. Step 3: Cross multiply
    3,412.70x = 4,709.64 × 1,996.18
  4. Step 4: Simplify right side
    3,412.70x = 9,401,289.18
  5. Step 5: Solve for x
    x = 9,401,289.18/3,412.70
  6. Step 6: Final answer
    x = 2,754.80

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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.