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Finding the Fourth Proportional to 1,732.32, 2,600.64 and 1,153.44

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Solution

The fourth proportional to 1,732.32, 2,600.64 and 1,153.44 is: 1,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.32 : 2,600.64 = 1,153.44 : x
  2. Step 2: Convert to fraction form
    1,732.32/2,600.64 = 1,153.44/x
  3. Step 3: Cross multiply
    1,732.32x = 2,600.64 × 1,153.44
  4. Step 4: Simplify right side
    1,732.32x = 2,999,682.20
  5. Step 5: Solve for x
    x = 2,999,682.20/1,732.32
  6. Step 6: Final answer
    x = 1,731.60

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