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Finding the Fourth Proportional to 2,580.82, 3,860.25 and 1,538.44

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Solution

The fourth proportional to 2,580.82, 3,860.25 and 1,538.44 is: 2,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.82 : 3,860.25 = 1,538.44 : x
  2. Step 2: Convert to fraction form
    2,580.82/3,860.25 = 1,538.44/x
  3. Step 3: Cross multiply
    2,580.82x = 3,860.25 × 1,538.44
  4. Step 4: Simplify right side
    2,580.82x = 5,938,763.01
  5. Step 5: Solve for x
    x = 5,938,763.01/2,580.82
  6. Step 6: Final answer
    x = 2,301.11

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