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Finding the Fourth Proportional to 1,986.96, 2,978.19 and 1,011

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Solution

The fourth proportional to 1,986.96, 2,978.19 and 1,011 is: 1,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.96 : 2,978.19 = 1,011 : x
  2. Step 2: Convert to fraction form
    1,986.96/2,978.19 = 1,011/x
  3. Step 3: Cross multiply
    1,986.96x = 2,978.19 × 1,011
  4. Step 4: Simplify right side
    1,986.96x = 3,010,950.09
  5. Step 5: Solve for x
    x = 3,010,950.09/1,986.96
  6. Step 6: Final answer
    x = 1,515.36

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