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Finding the Fourth Proportional to 1,965.12, 2,947.44 and 504.28

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Solution

The fourth proportional to 1,965.12, 2,947.44 and 504.28 is: 756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.12 : 2,947.44 = 504.28 : x
  2. Step 2: Convert to fraction form
    1,965.12/2,947.44 = 504.28/x
  3. Step 3: Cross multiply
    1,965.12x = 2,947.44 × 504.28
  4. Step 4: Simplify right side
    1,965.12x = 1,486,335.04
  5. Step 5: Solve for x
    x = 1,486,335.04/1,965.12
  6. Step 6: Final answer
    x = 756.36

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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.