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Finding the Fourth Proportional to 1,306.25, 1,954.71 and 1,219.35

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Solution

The fourth proportional to 1,306.25, 1,954.71 and 1,219.35 is: 1,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.25 : 1,954.71 = 1,219.35 : x
  2. Step 2: Convert to fraction form
    1,306.25/1,954.71 = 1,219.35/x
  3. Step 3: Cross multiply
    1,306.25x = 1,954.71 × 1,219.35
  4. Step 4: Simplify right side
    1,306.25x = 2,383,475.64
  5. Step 5: Solve for x
    x = 2,383,475.64/1,306.25
  6. Step 6: Final answer
    x = 1,824.68

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