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Finding the Fourth Proportional to 2,565.81, 3,841.56 and 1,685.61

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Solution

The fourth proportional to 2,565.81, 3,841.56 and 1,685.61 is: 2,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.81 : 3,841.56 = 1,685.61 : x
  2. Step 2: Convert to fraction form
    2,565.81/3,841.56 = 1,685.61/x
  3. Step 3: Cross multiply
    2,565.81x = 3,841.56 × 1,685.61
  4. Step 4: Simplify right side
    2,565.81x = 6,475,371.95
  5. Step 5: Solve for x
    x = 6,475,371.95/2,565.81
  6. Step 6: Final answer
    x = 2,523.71

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