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Finding the Fourth Proportional to 1,714.70, 2,571.60 and 1,166.78

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Solution

The fourth proportional to 1,714.70, 2,571.60 and 1,166.78 is: 1,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.70 : 2,571.60 = 1,166.78 : x
  2. Step 2: Convert to fraction form
    1,714.70/2,571.60 = 1,166.78/x
  3. Step 3: Cross multiply
    1,714.70x = 2,571.60 × 1,166.78
  4. Step 4: Simplify right side
    1,714.70x = 3,000,491.45
  5. Step 5: Solve for x
    x = 3,000,491.45/1,714.70
  6. Step 6: Final answer
    x = 1,749.86

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