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Finding the Fourth Proportional to 1,217.64, 1,828.89 and 1,188.48

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Solution

The fourth proportional to 1,217.64, 1,828.89 and 1,188.48 is: 1,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.64 : 1,828.89 = 1,188.48 : x
  2. Step 2: Convert to fraction form
    1,217.64/1,828.89 = 1,188.48/x
  3. Step 3: Cross multiply
    1,217.64x = 1,828.89 × 1,188.48
  4. Step 4: Simplify right side
    1,217.64x = 2,173,599.19
  5. Step 5: Solve for x
    x = 2,173,599.19/1,217.64
  6. Step 6: Final answer
    x = 1,785.09

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