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Finding the Fourth Proportional to 2,565.82, 3,846.66 and 2,360.80

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Solution

The fourth proportional to 2,565.82, 3,846.66 and 2,360.80 is: 3,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.82 : 3,846.66 = 2,360.80 : x
  2. Step 2: Convert to fraction form
    2,565.82/3,846.66 = 2,360.80/x
  3. Step 3: Cross multiply
    2,565.82x = 3,846.66 × 2,360.80
  4. Step 4: Simplify right side
    2,565.82x = 9,081,194.93
  5. Step 5: Solve for x
    x = 9,081,194.93/2,565.82
  6. Step 6: Final answer
    x = 3,539.30

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