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Finding the Fourth Proportional to 3,305.91, 4,954.51 and 1,550.64

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Solution

The fourth proportional to 3,305.91, 4,954.51 and 1,550.64 is: 2,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.91 : 4,954.51 = 1,550.64 : x
  2. Step 2: Convert to fraction form
    3,305.91/4,954.51 = 1,550.64/x
  3. Step 3: Cross multiply
    3,305.91x = 4,954.51 × 1,550.64
  4. Step 4: Simplify right side
    3,305.91x = 7,682,653.63
  5. Step 5: Solve for x
    x = 7,682,653.63/3,305.91
  6. Step 6: Final answer
    x = 2,323.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.