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Finding the Fourth Proportional to 1,536.68, 2,305.84 and 1,531.82

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Solution

The fourth proportional to 1,536.68, 2,305.84 and 1,531.82 is: 2,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.68 : 2,305.84 = 1,531.82 : x
  2. Step 2: Convert to fraction form
    1,536.68/2,305.84 = 1,531.82/x
  3. Step 3: Cross multiply
    1,536.68x = 2,305.84 × 1,531.82
  4. Step 4: Simplify right side
    1,536.68x = 3,532,131.83
  5. Step 5: Solve for x
    x = 3,532,131.83/1,536.68
  6. Step 6: Final answer
    x = 2,298.55

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