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Finding the Fourth Proportional to 3,305.47, 4,958.67 and 965.65

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Solution

The fourth proportional to 3,305.47, 4,958.67 and 965.65 is: 1,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.47 : 4,958.67 = 965.65 : x
  2. Step 2: Convert to fraction form
    3,305.47/4,958.67 = 965.65/x
  3. Step 3: Cross multiply
    3,305.47x = 4,958.67 × 965.65
  4. Step 4: Simplify right side
    3,305.47x = 4,788,340.21
  5. Step 5: Solve for x
    x = 4,788,340.21/3,305.47
  6. Step 6: Final answer
    x = 1,448.61

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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.