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Finding the Fourth Proportional to 2,546.73, 3,820.30 and 1,655.24

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Solution

The fourth proportional to 2,546.73, 3,820.30 and 1,655.24 is: 2,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.73 : 3,820.30 = 1,655.24 : x
  2. Step 2: Convert to fraction form
    2,546.73/3,820.30 = 1,655.24/x
  3. Step 3: Cross multiply
    2,546.73x = 3,820.30 × 1,655.24
  4. Step 4: Simplify right side
    2,546.73x = 6,323,486.64
  5. Step 5: Solve for x
    x = 6,323,486.64/2,546.73
  6. Step 6: Final answer
    x = 2,482.98

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