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Finding the Fourth Proportional to 2,130.68, 3,196.47 and 1,978.80

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Solution

The fourth proportional to 2,130.68, 3,196.47 and 1,978.80 is: 2,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.68 : 3,196.47 = 1,978.80 : x
  2. Step 2: Convert to fraction form
    2,130.68/3,196.47 = 1,978.80/x
  3. Step 3: Cross multiply
    2,130.68x = 3,196.47 × 1,978.80
  4. Step 4: Simplify right side
    2,130.68x = 6,325,174.84
  5. Step 5: Solve for x
    x = 6,325,174.84/2,130.68
  6. Step 6: Final answer
    x = 2,968.62

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