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Finding the Fourth Proportional to 1,577.62, 2,360.86 and 1,160.17

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Solution

The fourth proportional to 1,577.62, 2,360.86 and 1,160.17 is: 1,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.62 : 2,360.86 = 1,160.17 : x
  2. Step 2: Convert to fraction form
    1,577.62/2,360.86 = 1,160.17/x
  3. Step 3: Cross multiply
    1,577.62x = 2,360.86 × 1,160.17
  4. Step 4: Simplify right side
    1,577.62x = 2,738,998.95
  5. Step 5: Solve for x
    x = 2,738,998.95/1,577.62
  6. Step 6: Final answer
    x = 1,736.16

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