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Finding the Fourth Proportional to 2,714.88, 4,072.32 and 1,415.64

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Solution

The fourth proportional to 2,714.88, 4,072.32 and 1,415.64 is: 2,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.88 : 4,072.32 = 1,415.64 : x
  2. Step 2: Convert to fraction form
    2,714.88/4,072.32 = 1,415.64/x
  3. Step 3: Cross multiply
    2,714.88x = 4,072.32 × 1,415.64
  4. Step 4: Simplify right side
    2,714.88x = 5,764,939.08
  5. Step 5: Solve for x
    x = 5,764,939.08/2,714.88
  6. Step 6: Final answer
    x = 2,123.46

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