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Finding the Fourth Proportional to 2,741.70, 4,112.56 and 1,097.78

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Solution

The fourth proportional to 2,741.70, 4,112.56 and 1,097.78 is: 1,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.70 : 4,112.56 = 1,097.78 : x
  2. Step 2: Convert to fraction form
    2,741.70/4,112.56 = 1,097.78/x
  3. Step 3: Cross multiply
    2,741.70x = 4,112.56 × 1,097.78
  4. Step 4: Simplify right side
    2,741.70x = 4,514,686.12
  5. Step 5: Solve for x
    x = 4,514,686.12/2,741.70
  6. Step 6: Final answer
    x = 1,646.67

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