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Finding the Fourth Proportional to 1,980.32, 2,966.70 and 1,200.56

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Solution

The fourth proportional to 1,980.32, 2,966.70 and 1,200.56 is: 1,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.32 : 2,966.70 = 1,200.56 : x
  2. Step 2: Convert to fraction form
    1,980.32/2,966.70 = 1,200.56/x
  3. Step 3: Cross multiply
    1,980.32x = 2,966.70 × 1,200.56
  4. Step 4: Simplify right side
    1,980.32x = 3,561,701.35
  5. Step 5: Solve for x
    x = 3,561,701.35/1,980.32
  6. Step 6: Final answer
    x = 1,798.55

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