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Finding the Fourth Proportional to 1,541.71, 2,309.82 and 1,175.38

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Solution

The fourth proportional to 1,541.71, 2,309.82 and 1,175.38 is: 1,760.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.71 : 2,309.82 = 1,175.38 : x
  2. Step 2: Convert to fraction form
    1,541.71/2,309.82 = 1,175.38/x
  3. Step 3: Cross multiply
    1,541.71x = 2,309.82 × 1,175.38
  4. Step 4: Simplify right side
    1,541.71x = 2,714,916.23
  5. Step 5: Solve for x
    x = 2,714,916.23/1,541.71
  6. Step 6: Final answer
    x = 1,760.98

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