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Finding the Fourth Proportional to 1,732.49, 2,597.64 and 1,146.86

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Solution

The fourth proportional to 1,732.49, 2,597.64 and 1,146.86 is: 1,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.49 : 2,597.64 = 1,146.86 : x
  2. Step 2: Convert to fraction form
    1,732.49/2,597.64 = 1,146.86/x
  3. Step 3: Cross multiply
    1,732.49x = 2,597.64 × 1,146.86
  4. Step 4: Simplify right side
    1,732.49x = 2,979,116.42
  5. Step 5: Solve for x
    x = 2,979,116.42/1,732.49
  6. Step 6: Final answer
    x = 1,719.56

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