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Finding the Fourth Proportional to 3,346.09, 4,617.39 and 1,965.17

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Solution

The fourth proportional to 3,346.09, 4,617.39 and 1,965.17 is: 2,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.09 : 4,617.39 = 1,965.17 : x
  2. Step 2: Convert to fraction form
    3,346.09/4,617.39 = 1,965.17/x
  3. Step 3: Cross multiply
    3,346.09x = 4,617.39 × 1,965.17
  4. Step 4: Simplify right side
    3,346.09x = 9,073,956.31
  5. Step 5: Solve for x
    x = 9,073,956.31/3,346.09
  6. Step 6: Final answer
    x = 2,711.81

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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.