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Finding the Fourth Proportional to 1,965.79, 2,947.71 and 1,144.27

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Solution

The fourth proportional to 1,965.79, 2,947.71 and 1,144.27 is: 1,715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.79 : 2,947.71 = 1,144.27 : x
  2. Step 2: Convert to fraction form
    1,965.79/2,947.71 = 1,144.27/x
  3. Step 3: Cross multiply
    1,965.79x = 2,947.71 × 1,144.27
  4. Step 4: Simplify right side
    1,965.79x = 3,372,976.12
  5. Step 5: Solve for x
    x = 3,372,976.12/1,965.79
  6. Step 6: Final answer
    x = 1,715.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.