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Finding the Fourth Proportional to 2,705.64, 4,059.90 and 1,166.76

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Solution

The fourth proportional to 2,705.64, 4,059.90 and 1,166.76 is: 1,750.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.64 : 4,059.90 = 1,166.76 : x
  2. Step 2: Convert to fraction form
    2,705.64/4,059.90 = 1,166.76/x
  3. Step 3: Cross multiply
    2,705.64x = 4,059.90 × 1,166.76
  4. Step 4: Simplify right side
    2,705.64x = 4,736,928.92
  5. Step 5: Solve for x
    x = 4,736,928.92/2,705.64
  6. Step 6: Final answer
    x = 1,750.76

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