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Finding the Fourth Proportional to 2,558.84, 3,839.40 and 1,404.56

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Solution

The fourth proportional to 2,558.84, 3,839.40 and 1,404.56 is: 2,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.84 : 3,839.40 = 1,404.56 : x
  2. Step 2: Convert to fraction form
    2,558.84/3,839.40 = 1,404.56/x
  3. Step 3: Cross multiply
    2,558.84x = 3,839.40 × 1,404.56
  4. Step 4: Simplify right side
    2,558.84x = 5,392,667.66
  5. Step 5: Solve for x
    x = 5,392,667.66/2,558.84
  6. Step 6: Final answer
    x = 2,107.47

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