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Finding the Fourth Proportional to 2,577.93, 3,872.36 and 1,604.71

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Solution

The fourth proportional to 2,577.93, 3,872.36 and 1,604.71 is: 2,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.93 : 3,872.36 = 1,604.71 : x
  2. Step 2: Convert to fraction form
    2,577.93/3,872.36 = 1,604.71/x
  3. Step 3: Cross multiply
    2,577.93x = 3,872.36 × 1,604.71
  4. Step 4: Simplify right side
    2,577.93x = 6,214,014.64
  5. Step 5: Solve for x
    x = 6,214,014.64/2,577.93
  6. Step 6: Final answer
    x = 2,410.47

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