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Finding the Fourth Proportional to 2,565.23, 3,847.86 and 1,468.82

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Solution

The fourth proportional to 2,565.23, 3,847.86 and 1,468.82 is: 2,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.23 : 3,847.86 = 1,468.82 : x
  2. Step 2: Convert to fraction form
    2,565.23/3,847.86 = 1,468.82/x
  3. Step 3: Cross multiply
    2,565.23x = 3,847.86 × 1,468.82
  4. Step 4: Simplify right side
    2,565.23x = 5,651,823.34
  5. Step 5: Solve for x
    x = 5,651,823.34/2,565.23
  6. Step 6: Final answer
    x = 2,203.25

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