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Finding the Fourth Proportional to 1,966.81, 2,946.57 and 1,348.78

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Solution

The fourth proportional to 1,966.81, 2,946.57 and 1,348.78 is: 2,020.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.81 : 2,946.57 = 1,348.78 : x
  2. Step 2: Convert to fraction form
    1,966.81/2,946.57 = 1,348.78/x
  3. Step 3: Cross multiply
    1,966.81x = 2,946.57 × 1,348.78
  4. Step 4: Simplify right side
    1,966.81x = 3,974,274.68
  5. Step 5: Solve for x
    x = 3,974,274.68/1,966.81
  6. Step 6: Final answer
    x = 2,020.67

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