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Finding the Fourth Proportional to 2,965.68, 4,448.60 and 774.36

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Solution

The fourth proportional to 2,965.68, 4,448.60 and 774.36 is: 1,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.68 : 4,448.60 = 774.36 : x
  2. Step 2: Convert to fraction form
    2,965.68/4,448.60 = 774.36/x
  3. Step 3: Cross multiply
    2,965.68x = 4,448.60 × 774.36
  4. Step 4: Simplify right side
    2,965.68x = 3,444,817.90
  5. Step 5: Solve for x
    x = 3,444,817.90/2,965.68
  6. Step 6: Final answer
    x = 1,161.56

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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.