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Finding the Fourth Proportional to 2,270.96, 3,401.64 and 1,296.56

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Solution

The fourth proportional to 2,270.96, 3,401.64 and 1,296.56 is: 1,942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.96 : 3,401.64 = 1,296.56 : x
  2. Step 2: Convert to fraction form
    2,270.96/3,401.64 = 1,296.56/x
  3. Step 3: Cross multiply
    2,270.96x = 3,401.64 × 1,296.56
  4. Step 4: Simplify right side
    2,270.96x = 4,410,430.36
  5. Step 5: Solve for x
    x = 4,410,430.36/2,270.96
  6. Step 6: Final answer
    x = 1,942.10

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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.