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Finding the Fourth Proportional to 1,597.16, 2,398.14 and 1,567.96

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Solution

The fourth proportional to 1,597.16, 2,398.14 and 1,567.96 is: 2,354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.16 : 2,398.14 = 1,567.96 : x
  2. Step 2: Convert to fraction form
    1,597.16/2,398.14 = 1,567.96/x
  3. Step 3: Cross multiply
    1,597.16x = 2,398.14 × 1,567.96
  4. Step 4: Simplify right side
    1,597.16x = 3,760,187.59
  5. Step 5: Solve for x
    x = 3,760,187.59/1,597.16
  6. Step 6: Final answer
    x = 2,354.30

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