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Finding the Fourth Proportional to 1,922.59, 2,884.83 and 1,460.22

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Solution

The fourth proportional to 1,922.59, 2,884.83 and 1,460.22 is: 2,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.59 : 2,884.83 = 1,460.22 : x
  2. Step 2: Convert to fraction form
    1,922.59/2,884.83 = 1,460.22/x
  3. Step 3: Cross multiply
    1,922.59x = 2,884.83 × 1,460.22
  4. Step 4: Simplify right side
    1,922.59x = 4,212,486.46
  5. Step 5: Solve for x
    x = 4,212,486.46/1,922.59
  6. Step 6: Final answer
    x = 2,191.05

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