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Finding the Fourth Proportional to 1,541.76, 2,304.44 and 1,342.56

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Solution

The fourth proportional to 1,541.76, 2,304.44 and 1,342.56 is: 2,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.76 : 2,304.44 = 1,342.56 : x
  2. Step 2: Convert to fraction form
    1,541.76/2,304.44 = 1,342.56/x
  3. Step 3: Cross multiply
    1,541.76x = 2,304.44 × 1,342.56
  4. Step 4: Simplify right side
    1,541.76x = 3,093,848.97
  5. Step 5: Solve for x
    x = 3,093,848.97/1,541.76
  6. Step 6: Final answer
    x = 2,006.70

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