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Finding the Fourth Proportional to 1,981.76, 2,970.80 and 682.92

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Solution

The fourth proportional to 1,981.76, 2,970.80 and 682.92 is: 1,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.76 : 2,970.80 = 682.92 : x
  2. Step 2: Convert to fraction form
    1,981.76/2,970.80 = 682.92/x
  3. Step 3: Cross multiply
    1,981.76x = 2,970.80 × 682.92
  4. Step 4: Simplify right side
    1,981.76x = 2,028,818.74
  5. Step 5: Solve for x
    x = 2,028,818.74/1,981.76
  6. Step 6: Final answer
    x = 1,023.75

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