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Finding the Fourth Proportional to 1,313.75, 1,971.95 and 1,166.46

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Solution

The fourth proportional to 1,313.75, 1,971.95 and 1,166.46 is: 1,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.75 : 1,971.95 = 1,166.46 : x
  2. Step 2: Convert to fraction form
    1,313.75/1,971.95 = 1,166.46/x
  3. Step 3: Cross multiply
    1,313.75x = 1,971.95 × 1,166.46
  4. Step 4: Simplify right side
    1,313.75x = 2,300,194.96
  5. Step 5: Solve for x
    x = 2,300,194.96/1,313.75
  6. Step 6: Final answer
    x = 1,750.87

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