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Finding the Fourth Proportional to 1,985.31, 2,978.01 and 830.43

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Solution

The fourth proportional to 1,985.31, 2,978.01 and 830.43 is: 1,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.31 : 2,978.01 = 830.43 : x
  2. Step 2: Convert to fraction form
    1,985.31/2,978.01 = 830.43/x
  3. Step 3: Cross multiply
    1,985.31x = 2,978.01 × 830.43
  4. Step 4: Simplify right side
    1,985.31x = 2,473,028.84
  5. Step 5: Solve for x
    x = 2,473,028.84/1,985.31
  6. Step 6: Final answer
    x = 1,245.66

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