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Finding the Fourth Proportional to 1,536.56, 2,308.80 and 1,277.36

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Solution

The fourth proportional to 1,536.56, 2,308.80 and 1,277.36 is: 1,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.56 : 2,308.80 = 1,277.36 : x
  2. Step 2: Convert to fraction form
    1,536.56/2,308.80 = 1,277.36/x
  3. Step 3: Cross multiply
    1,536.56x = 2,308.80 × 1,277.36
  4. Step 4: Simplify right side
    1,536.56x = 2,949,168.77
  5. Step 5: Solve for x
    x = 2,949,168.77/1,536.56
  6. Step 6: Final answer
    x = 1,919.33

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