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Finding the Fourth Proportional to 3,382.26, 4,666.28 and 1,965.87

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Solution

The fourth proportional to 3,382.26, 4,666.28 and 1,965.87 is: 2,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.26 : 4,666.28 = 1,965.87 : x
  2. Step 2: Convert to fraction form
    3,382.26/4,666.28 = 1,965.87/x
  3. Step 3: Cross multiply
    3,382.26x = 4,666.28 × 1,965.87
  4. Step 4: Simplify right side
    3,382.26x = 9,173,306.62
  5. Step 5: Solve for x
    x = 9,173,306.62/3,382.26
  6. Step 6: Final answer
    x = 2,712.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.