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Finding the Fourth Proportional to 1,965.57, 2,709.15 and 1,301.27

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Solution

The fourth proportional to 1,965.57, 2,709.15 and 1,301.27 is: 1,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.57 : 2,709.15 = 1,301.27 : x
  2. Step 2: Convert to fraction form
    1,965.57/2,709.15 = 1,301.27/x
  3. Step 3: Cross multiply
    1,965.57x = 2,709.15 × 1,301.27
  4. Step 4: Simplify right side
    1,965.57x = 3,525,317.20
  5. Step 5: Solve for x
    x = 3,525,317.20/1,965.57
  6. Step 6: Final answer
    x = 1,793.54

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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.