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Finding the Fourth Proportional to 1,583.64, 2,373.30 and 1,174.32

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Solution

The fourth proportional to 1,583.64, 2,373.30 and 1,174.32 is: 1,759.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.64 : 2,373.30 = 1,174.32 : x
  2. Step 2: Convert to fraction form
    1,583.64/2,373.30 = 1,174.32/x
  3. Step 3: Cross multiply
    1,583.64x = 2,373.30 × 1,174.32
  4. Step 4: Simplify right side
    1,583.64x = 2,787,013.66
  5. Step 5: Solve for x
    x = 2,787,013.66/1,583.64
  6. Step 6: Final answer
    x = 1,759.88

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