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Finding the Fourth Proportional to 1,961.81, 2,709.06 and 1,463.59

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Solution

The fourth proportional to 1,961.81, 2,709.06 and 1,463.59 is: 2,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.81 : 2,709.06 = 1,463.59 : x
  2. Step 2: Convert to fraction form
    1,961.81/2,709.06 = 1,463.59/x
  3. Step 3: Cross multiply
    1,961.81x = 2,709.06 × 1,463.59
  4. Step 4: Simplify right side
    1,961.81x = 3,964,959.26
  5. Step 5: Solve for x
    x = 3,964,959.26/1,961.81
  6. Step 6: Final answer
    x = 2,021.07

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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.