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Finding the Fourth Proportional to 2,513.22, 3,769.84 and 1,213.78

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Solution

The fourth proportional to 2,513.22, 3,769.84 and 1,213.78 is: 1,820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.22 : 3,769.84 = 1,213.78 : x
  2. Step 2: Convert to fraction form
    2,513.22/3,769.84 = 1,213.78/x
  3. Step 3: Cross multiply
    2,513.22x = 3,769.84 × 1,213.78
  4. Step 4: Simplify right side
    2,513.22x = 4,575,756.40
  5. Step 5: Solve for x
    x = 4,575,756.40/2,513.22
  6. Step 6: Final answer
    x = 1,820.67

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