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Finding the Fourth Proportional to 1,255.40, 1,883.14 and 1,023.24

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Solution

The fourth proportional to 1,255.40, 1,883.14 and 1,023.24 is: 1,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.40 : 1,883.14 = 1,023.24 : x
  2. Step 2: Convert to fraction form
    1,255.40/1,883.14 = 1,023.24/x
  3. Step 3: Cross multiply
    1,255.40x = 1,883.14 × 1,023.24
  4. Step 4: Simplify right side
    1,255.40x = 1,926,904.17
  5. Step 5: Solve for x
    x = 1,926,904.17/1,255.40
  6. Step 6: Final answer
    x = 1,534.89

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