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Finding the Fourth Proportional to 1,984.55, 2,978.64 and 1,865.48

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Solution

The fourth proportional to 1,984.55, 2,978.64 and 1,865.48 is: 2,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.55 : 2,978.64 = 1,865.48 : x
  2. Step 2: Convert to fraction form
    1,984.55/2,978.64 = 1,865.48/x
  3. Step 3: Cross multiply
    1,984.55x = 2,978.64 × 1,865.48
  4. Step 4: Simplify right side
    1,984.55x = 5,556,578.45
  5. Step 5: Solve for x
    x = 5,556,578.45/1,984.55
  6. Step 6: Final answer
    x = 2,799.93

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