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Finding the Fourth Proportional to 1,922.56, 2,876.34 and 1,461.67

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Solution

The fourth proportional to 1,922.56, 2,876.34 and 1,461.67 is: 2,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.56 : 2,876.34 = 1,461.67 : x
  2. Step 2: Convert to fraction form
    1,922.56/2,876.34 = 1,461.67/x
  3. Step 3: Cross multiply
    1,922.56x = 2,876.34 × 1,461.67
  4. Step 4: Simplify right side
    1,922.56x = 4,204,245.51
  5. Step 5: Solve for x
    x = 4,204,245.51/1,922.56
  6. Step 6: Final answer
    x = 2,186.80

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