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Finding the Fourth Proportional to 1,577.04, 2,366.19 and 755.28

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Solution

The fourth proportional to 1,577.04, 2,366.19 and 755.28 is: 1,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.04 : 2,366.19 = 755.28 : x
  2. Step 2: Convert to fraction form
    1,577.04/2,366.19 = 755.28/x
  3. Step 3: Cross multiply
    1,577.04x = 2,366.19 × 755.28
  4. Step 4: Simplify right side
    1,577.04x = 1,787,135.98
  5. Step 5: Solve for x
    x = 1,787,135.98/1,577.04
  6. Step 6: Final answer
    x = 1,133.22

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