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Finding the Fourth Proportional to 2,398.21, 3,597.62 and 1,164.58

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Solution

The fourth proportional to 2,398.21, 3,597.62 and 1,164.58 is: 1,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.21 : 3,597.62 = 1,164.58 : x
  2. Step 2: Convert to fraction form
    2,398.21/3,597.62 = 1,164.58/x
  3. Step 3: Cross multiply
    2,398.21x = 3,597.62 × 1,164.58
  4. Step 4: Simplify right side
    2,398.21x = 4,189,701.48
  5. Step 5: Solve for x
    x = 4,189,701.48/2,398.21
  6. Step 6: Final answer
    x = 1,747.01

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