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Finding the Fourth Proportional to 1,965.67, 2,709.69 and 1,301.37

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Solution

The fourth proportional to 1,965.67, 2,709.69 and 1,301.37 is: 1,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.67 : 2,709.69 = 1,301.37 : x
  2. Step 2: Convert to fraction form
    1,965.67/2,709.69 = 1,301.37/x
  3. Step 3: Cross multiply
    1,965.67x = 2,709.69 × 1,301.37
  4. Step 4: Simplify right side
    1,965.67x = 3,526,294.23
  5. Step 5: Solve for x
    x = 3,526,294.23/1,965.67
  6. Step 6: Final answer
    x = 1,793.94

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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.