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Finding the Fourth Proportional to 1,142.75, 1,715.36 and 1,117.96

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Solution

The fourth proportional to 1,142.75, 1,715.36 and 1,117.96 is: 1,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.75 : 1,715.36 = 1,117.96 : x
  2. Step 2: Convert to fraction form
    1,142.75/1,715.36 = 1,117.96/x
  3. Step 3: Cross multiply
    1,142.75x = 1,715.36 × 1,117.96
  4. Step 4: Simplify right side
    1,142.75x = 1,917,693.99
  5. Step 5: Solve for x
    x = 1,917,693.99/1,142.75
  6. Step 6: Final answer
    x = 1,678.14

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