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Finding the Fourth Proportional to 1,867.41, 2,576.48 and 1,159.78

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Solution

The fourth proportional to 1,867.41, 2,576.48 and 1,159.78 is: 1,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.41 : 2,576.48 = 1,159.78 : x
  2. Step 2: Convert to fraction form
    1,867.41/2,576.48 = 1,159.78/x
  3. Step 3: Cross multiply
    1,867.41x = 2,576.48 × 1,159.78
  4. Step 4: Simplify right side
    1,867.41x = 2,988,149.97
  5. Step 5: Solve for x
    x = 2,988,149.97/1,867.41
  6. Step 6: Final answer
    x = 1,600.16

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