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Finding the Fourth Proportional to 1,964.49, 2,709.96 and 1,292.19

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Solution

The fourth proportional to 1,964.49, 2,709.96 and 1,292.19 is: 1,782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.49 : 2,709.96 = 1,292.19 : x
  2. Step 2: Convert to fraction form
    1,964.49/2,709.96 = 1,292.19/x
  3. Step 3: Cross multiply
    1,964.49x = 2,709.96 × 1,292.19
  4. Step 4: Simplify right side
    1,964.49x = 3,501,768.20
  5. Step 5: Solve for x
    x = 3,501,768.20/1,964.49
  6. Step 6: Final answer
    x = 1,782.54

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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.