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Finding the Fourth Proportional to 1,583.70, 2,180.97 and 1,140.90

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Solution

The fourth proportional to 1,583.70, 2,180.97 and 1,140.90 is: 1,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.70 : 2,180.97 = 1,140.90 : x
  2. Step 2: Convert to fraction form
    1,583.70/2,180.97 = 1,140.90/x
  3. Step 3: Cross multiply
    1,583.70x = 2,180.97 × 1,140.90
  4. Step 4: Simplify right side
    1,583.70x = 2,488,268.67
  5. Step 5: Solve for x
    x = 2,488,268.67/1,583.70
  6. Step 6: Final answer
    x = 1,571.17

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