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Finding the Fourth Proportional to 1,609.53, 2,411.70 and 1,196.58

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Solution

The fourth proportional to 1,609.53, 2,411.70 and 1,196.58 is: 1,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.53 : 2,411.70 = 1,196.58 : x
  2. Step 2: Convert to fraction form
    1,609.53/2,411.70 = 1,196.58/x
  3. Step 3: Cross multiply
    1,609.53x = 2,411.70 × 1,196.58
  4. Step 4: Simplify right side
    1,609.53x = 2,885,791.99
  5. Step 5: Solve for x
    x = 2,885,791.99/1,609.53
  6. Step 6: Final answer
    x = 1,792.94

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