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Finding the Fourth Proportional to 1,677.78, 2,514.38 and 1,304.78

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Solution

The fourth proportional to 1,677.78, 2,514.38 and 1,304.78 is: 1,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.78 : 2,514.38 = 1,304.78 : x
  2. Step 2: Convert to fraction form
    1,677.78/2,514.38 = 1,304.78/x
  3. Step 3: Cross multiply
    1,677.78x = 2,514.38 × 1,304.78
  4. Step 4: Simplify right side
    1,677.78x = 3,280,693.64
  5. Step 5: Solve for x
    x = 3,280,693.64/1,677.78
  6. Step 6: Final answer
    x = 1,955.38

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