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Finding the Fourth Proportional to 2,577.59, 3,867.81 and 1,407.55

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Solution

The fourth proportional to 2,577.59, 3,867.81 and 1,407.55 is: 2,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.59 : 3,867.81 = 1,407.55 : x
  2. Step 2: Convert to fraction form
    2,577.59/3,867.81 = 1,407.55/x
  3. Step 3: Cross multiply
    2,577.59x = 3,867.81 × 1,407.55
  4. Step 4: Simplify right side
    2,577.59x = 5,444,135.97
  5. Step 5: Solve for x
    x = 5,444,135.97/2,577.59
  6. Step 6: Final answer
    x = 2,112.10

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