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Finding the Fourth Proportional to 1,965.73, 2,709.79 and 1,301.43

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Solution

The fourth proportional to 1,965.73, 2,709.79 and 1,301.43 is: 1,794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.73 : 2,709.79 = 1,301.43 : x
  2. Step 2: Convert to fraction form
    1,965.73/2,709.79 = 1,301.43/x
  3. Step 3: Cross multiply
    1,965.73x = 2,709.79 × 1,301.43
  4. Step 4: Simplify right side
    1,965.73x = 3,526,602.00
  5. Step 5: Solve for x
    x = 3,526,602.00/1,965.73
  6. Step 6: Final answer
    x = 1,794.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.