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Finding the Fourth Proportional to 3,305.96, 4,957.16 and 1,454.96

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Solution

The fourth proportional to 3,305.96, 4,957.16 and 1,454.96 is: 2,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.96 : 4,957.16 = 1,454.96 : x
  2. Step 2: Convert to fraction form
    3,305.96/4,957.16 = 1,454.96/x
  3. Step 3: Cross multiply
    3,305.96x = 4,957.16 × 1,454.96
  4. Step 4: Simplify right side
    3,305.96x = 7,212,469.51
  5. Step 5: Solve for x
    x = 7,212,469.51/3,305.96
  6. Step 6: Final answer
    x = 2,181.66

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1.5x scale

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.