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Finding the Fourth Proportional to 2,705.42, 4,057.68 and 1,923.05

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Solution

The fourth proportional to 2,705.42, 4,057.68 and 1,923.05 is: 2,884.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.42 : 4,057.68 = 1,923.05 : x
  2. Step 2: Convert to fraction form
    2,705.42/4,057.68 = 1,923.05/x
  3. Step 3: Cross multiply
    2,705.42x = 4,057.68 × 1,923.05
  4. Step 4: Simplify right side
    2,705.42x = 7,803,101.24
  5. Step 5: Solve for x
    x = 7,803,101.24/2,705.42
  6. Step 6: Final answer
    x = 2,884.25

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