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Finding the Fourth Proportional to 1,161.40, 1,743.99 and 1,102.93

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Solution

The fourth proportional to 1,161.40, 1,743.99 and 1,102.93 is: 1,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.40 : 1,743.99 = 1,102.93 : x
  2. Step 2: Convert to fraction form
    1,161.40/1,743.99 = 1,102.93/x
  3. Step 3: Cross multiply
    1,161.40x = 1,743.99 × 1,102.93
  4. Step 4: Simplify right side
    1,161.40x = 1,923,498.89
  5. Step 5: Solve for x
    x = 1,923,498.89/1,161.40
  6. Step 6: Final answer
    x = 1,656.19

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