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Finding the Fourth Proportional to 1,427.78, 1,968.53 and 1,214.88

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Solution

The fourth proportional to 1,427.78, 1,968.53 and 1,214.88 is: 1,675.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.78 : 1,968.53 = 1,214.88 : x
  2. Step 2: Convert to fraction form
    1,427.78/1,968.53 = 1,214.88/x
  3. Step 3: Cross multiply
    1,427.78x = 1,968.53 × 1,214.88
  4. Step 4: Simplify right side
    1,427.78x = 2,391,527.73
  5. Step 5: Solve for x
    x = 2,391,527.73/1,427.78
  6. Step 6: Final answer
    x = 1,675.00

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