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Finding the Fourth Proportional to 2,780.71, 3,837.29 and 1,661.40

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Solution

The fourth proportional to 2,780.71, 3,837.29 and 1,661.40 is: 2,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.71 : 3,837.29 = 1,661.40 : x
  2. Step 2: Convert to fraction form
    2,780.71/3,837.29 = 1,661.40/x
  3. Step 3: Cross multiply
    2,780.71x = 3,837.29 × 1,661.40
  4. Step 4: Simplify right side
    2,780.71x = 6,375,273.61
  5. Step 5: Solve for x
    x = 6,375,273.61/2,780.71
  6. Step 6: Final answer
    x = 2,292.68

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