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Finding the Fourth Proportional to 1,597.82, 2,396.51 and 1,187.55

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Solution

The fourth proportional to 1,597.82, 2,396.51 and 1,187.55 is: 1,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.82 : 2,396.51 = 1,187.55 : x
  2. Step 2: Convert to fraction form
    1,597.82/2,396.51 = 1,187.55/x
  3. Step 3: Cross multiply
    1,597.82x = 2,396.51 × 1,187.55
  4. Step 4: Simplify right side
    1,597.82x = 2,845,969.51
  5. Step 5: Solve for x
    x = 2,845,969.51/1,597.82
  6. Step 6: Final answer
    x = 1,781.16

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