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Finding the Fourth Proportional to 2,577.64, 3,867.54 and 1,852.96

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Solution

The fourth proportional to 2,577.64, 3,867.54 and 1,852.96 is: 2,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.64 : 3,867.54 = 1,852.96 : x
  2. Step 2: Convert to fraction form
    2,577.64/3,867.54 = 1,852.96/x
  3. Step 3: Cross multiply
    2,577.64x = 3,867.54 × 1,852.96
  4. Step 4: Simplify right side
    2,577.64x = 7,166,396.92
  5. Step 5: Solve for x
    x = 7,166,396.92/2,577.64
  6. Step 6: Final answer
    x = 2,780.22

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