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Finding the Fourth Proportional to 2,261.74, 3,390.60 and 1,166.74

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Solution

The fourth proportional to 2,261.74, 3,390.60 and 1,166.74 is: 1,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.74 : 3,390.60 = 1,166.74 : x
  2. Step 2: Convert to fraction form
    2,261.74/3,390.60 = 1,166.74/x
  3. Step 3: Cross multiply
    2,261.74x = 3,390.60 × 1,166.74
  4. Step 4: Simplify right side
    2,261.74x = 3,955,948.64
  5. Step 5: Solve for x
    x = 3,955,948.64/2,261.74
  6. Step 6: Final answer
    x = 1,749.07

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