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Finding the Fourth Proportional to 1,899.83, 2,602.78 and 1,828.82

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Solution

The fourth proportional to 1,899.83, 2,602.78 and 1,828.82 is: 2,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.83 : 2,602.78 = 1,828.82 : x
  2. Step 2: Convert to fraction form
    1,899.83/2,602.78 = 1,828.82/x
  3. Step 3: Cross multiply
    1,899.83x = 2,602.78 × 1,828.82
  4. Step 4: Simplify right side
    1,899.83x = 4,760,016.12
  5. Step 5: Solve for x
    x = 4,760,016.12/1,899.83
  6. Step 6: Final answer
    x = 2,505.50

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