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Finding the Fourth Proportional to 1,583.99, 2,377.48 and 1,166.25

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Solution

The fourth proportional to 1,583.99, 2,377.48 and 1,166.25 is: 1,750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.99 : 2,377.48 = 1,166.25 : x
  2. Step 2: Convert to fraction form
    1,583.99/2,377.48 = 1,166.25/x
  3. Step 3: Cross multiply
    1,583.99x = 2,377.48 × 1,166.25
  4. Step 4: Simplify right side
    1,583.99x = 2,772,736.05
  5. Step 5: Solve for x
    x = 2,772,736.05/1,583.99
  6. Step 6: Final answer
    x = 1,750.48

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