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Finding the Fourth Proportional to 2,829.78, 4,238.52 and 1,730.82

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Solution

The fourth proportional to 2,829.78, 4,238.52 and 1,730.82 is: 2,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.78 : 4,238.52 = 1,730.82 : x
  2. Step 2: Convert to fraction form
    2,829.78/4,238.52 = 1,730.82/x
  3. Step 3: Cross multiply
    2,829.78x = 4,238.52 × 1,730.82
  4. Step 4: Simplify right side
    2,829.78x = 7,336,115.19
  5. Step 5: Solve for x
    x = 7,336,115.19/2,829.78
  6. Step 6: Final answer
    x = 2,592.47

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