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Finding the Fourth Proportional to 1,982.42, 2,967.55 and 1,774.25

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Solution

The fourth proportional to 1,982.42, 2,967.55 and 1,774.25 is: 2,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.42 : 2,967.55 = 1,774.25 : x
  2. Step 2: Convert to fraction form
    1,982.42/2,967.55 = 1,774.25/x
  3. Step 3: Cross multiply
    1,982.42x = 2,967.55 × 1,774.25
  4. Step 4: Simplify right side
    1,982.42x = 5,265,156.31
  5. Step 5: Solve for x
    x = 5,265,156.31/1,982.42
  6. Step 6: Final answer
    x = 2,655.93

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