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Finding the Fourth Proportional to 2,566.92, 3,846.46 and 1,577.15

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Solution

The fourth proportional to 2,566.92, 3,846.46 and 1,577.15 is: 2,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.92 : 3,846.46 = 1,577.15 : x
  2. Step 2: Convert to fraction form
    2,566.92/3,846.46 = 1,577.15/x
  3. Step 3: Cross multiply
    2,566.92x = 3,846.46 × 1,577.15
  4. Step 4: Simplify right side
    2,566.92x = 6,066,432.21
  5. Step 5: Solve for x
    x = 6,066,432.21/2,566.92
  6. Step 6: Final answer
    x = 2,363.32

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