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Finding the Fourth Proportional to 2,097.12, 3,139.74 and 1,742.88

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Solution

The fourth proportional to 2,097.12, 3,139.74 and 1,742.88 is: 2,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.12 : 3,139.74 = 1,742.88 : x
  2. Step 2: Convert to fraction form
    2,097.12/3,139.74 = 1,742.88/x
  3. Step 3: Cross multiply
    2,097.12x = 3,139.74 × 1,742.88
  4. Step 4: Simplify right side
    2,097.12x = 5,472,190.05
  5. Step 5: Solve for x
    x = 5,472,190.05/2,097.12
  6. Step 6: Final answer
    x = 2,609.38

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