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Finding the Fourth Proportional to 2,655.71, 3,664.87 and 1,476.78

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Solution

The fourth proportional to 2,655.71, 3,664.87 and 1,476.78 is: 2,037.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.71 : 3,664.87 = 1,476.78 : x
  2. Step 2: Convert to fraction form
    2,655.71/3,664.87 = 1,476.78/x
  3. Step 3: Cross multiply
    2,655.71x = 3,664.87 × 1,476.78
  4. Step 4: Simplify right side
    2,655.71x = 5,412,199.33
  5. Step 5: Solve for x
    x = 5,412,199.33/2,655.71
  6. Step 6: Final answer
    x = 2,037.95

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