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Finding the Fourth Proportional to 1,986.16, 2,978.52 and 946.12

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Solution

The fourth proportional to 1,986.16, 2,978.52 and 946.12 is: 1,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.16 : 2,978.52 = 946.12 : x
  2. Step 2: Convert to fraction form
    1,986.16/2,978.52 = 946.12/x
  3. Step 3: Cross multiply
    1,986.16x = 2,978.52 × 946.12
  4. Step 4: Simplify right side
    1,986.16x = 2,818,037.34
  5. Step 5: Solve for x
    x = 2,818,037.34/1,986.16
  6. Step 6: Final answer
    x = 1,418.84

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