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Finding the Fourth Proportional to 3,305.51, 4,958.57 and 965.54

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Solution

The fourth proportional to 3,305.51, 4,958.57 and 965.54 is: 1,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.51 : 4,958.57 = 965.54 : x
  2. Step 2: Convert to fraction form
    3,305.51/4,958.57 = 965.54/x
  3. Step 3: Cross multiply
    3,305.51x = 4,958.57 × 965.54
  4. Step 4: Simplify right side
    3,305.51x = 4,787,675.30
  5. Step 5: Solve for x
    x = 4,787,675.30/3,305.51
  6. Step 6: Final answer
    x = 1,448.39

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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.