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Finding the Fourth Proportional to 2,533.64, 3,799.92 and 1,440.08

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Solution

The fourth proportional to 2,533.64, 3,799.92 and 1,440.08 is: 2,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.64 : 3,799.92 = 1,440.08 : x
  2. Step 2: Convert to fraction form
    2,533.64/3,799.92 = 1,440.08/x
  3. Step 3: Cross multiply
    2,533.64x = 3,799.92 × 1,440.08
  4. Step 4: Simplify right side
    2,533.64x = 5,472,188.79
  5. Step 5: Solve for x
    x = 5,472,188.79/2,533.64
  6. Step 6: Final answer
    x = 2,159.81

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