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Finding the Fourth Proportional to 3,305.91, 4,957.59 and 1,661.31

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Solution

The fourth proportional to 3,305.91, 4,957.59 and 1,661.31 is: 2,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.91 : 4,957.59 = 1,661.31 : x
  2. Step 2: Convert to fraction form
    3,305.91/4,957.59 = 1,661.31/x
  3. Step 3: Cross multiply
    3,305.91x = 4,957.59 × 1,661.31
  4. Step 4: Simplify right side
    3,305.91x = 8,236,093.84
  5. Step 5: Solve for x
    x = 8,236,093.84/3,305.91
  6. Step 6: Final answer
    x = 2,491.32

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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.