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Finding the Fourth Proportional to 1,865.24, 2,796.64 and 1,133.72

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Solution

The fourth proportional to 1,865.24, 2,796.64 and 1,133.72 is: 1,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.24 : 2,796.64 = 1,133.72 : x
  2. Step 2: Convert to fraction form
    1,865.24/2,796.64 = 1,133.72/x
  3. Step 3: Cross multiply
    1,865.24x = 2,796.64 × 1,133.72
  4. Step 4: Simplify right side
    1,865.24x = 3,170,606.70
  5. Step 5: Solve for x
    x = 3,170,606.70/1,865.24
  6. Step 6: Final answer
    x = 1,699.84

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