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Finding the Fourth Proportional to 1,980.78, 2,971.80 and 1,056.30

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Solution

The fourth proportional to 1,980.78, 2,971.80 and 1,056.30 is: 1,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.78 : 2,971.80 = 1,056.30 : x
  2. Step 2: Convert to fraction form
    1,980.78/2,971.80 = 1,056.30/x
  3. Step 3: Cross multiply
    1,980.78x = 2,971.80 × 1,056.30
  4. Step 4: Simplify right side
    1,980.78x = 3,139,112.34
  5. Step 5: Solve for x
    x = 3,139,112.34/1,980.78
  6. Step 6: Final answer
    x = 1,584.79

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