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Finding the Fourth Proportional to 2,553.84, 3,829.68 and 1,514.88

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Solution

The fourth proportional to 2,553.84, 3,829.68 and 1,514.88 is: 2,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.84 : 3,829.68 = 1,514.88 : x
  2. Step 2: Convert to fraction form
    2,553.84/3,829.68 = 1,514.88/x
  3. Step 3: Cross multiply
    2,553.84x = 3,829.68 × 1,514.88
  4. Step 4: Simplify right side
    2,553.84x = 5,801,505.64
  5. Step 5: Solve for x
    x = 5,801,505.64/2,553.84
  6. Step 6: Final answer
    x = 2,271.68

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