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Finding the Fourth Proportional to 2,783.78, 4,175.94 and 1,029.25

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Solution

The fourth proportional to 2,783.78, 4,175.94 and 1,029.25 is: 1,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.78 : 4,175.94 = 1,029.25 : x
  2. Step 2: Convert to fraction form
    2,783.78/4,175.94 = 1,029.25/x
  3. Step 3: Cross multiply
    2,783.78x = 4,175.94 × 1,029.25
  4. Step 4: Simplify right side
    2,783.78x = 4,298,079.66
  5. Step 5: Solve for x
    x = 4,298,079.66/2,783.78
  6. Step 6: Final answer
    x = 1,543.98

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