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Finding the Fourth Proportional to 3,206.94, 4,424.28 and 1,965.66

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Solution

The fourth proportional to 3,206.94, 4,424.28 and 1,965.66 is: 2,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.94 : 4,424.28 = 1,965.66 : x
  2. Step 2: Convert to fraction form
    3,206.94/4,424.28 = 1,965.66/x
  3. Step 3: Cross multiply
    3,206.94x = 4,424.28 × 1,965.66
  4. Step 4: Simplify right side
    3,206.94x = 8,696,630.22
  5. Step 5: Solve for x
    x = 8,696,630.22/3,206.94
  6. Step 6: Final answer
    x = 2,711.82

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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.