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Finding the Fourth Proportional to 3,282.64, 4,922.80 and 1,433.34

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Solution

The fourth proportional to 3,282.64, 4,922.80 and 1,433.34 is: 2,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.64 : 4,922.80 = 1,433.34 : x
  2. Step 2: Convert to fraction form
    3,282.64/4,922.80 = 1,433.34/x
  3. Step 3: Cross multiply
    3,282.64x = 4,922.80 × 1,433.34
  4. Step 4: Simplify right side
    3,282.64x = 7,056,046.15
  5. Step 5: Solve for x
    x = 7,056,046.15/3,282.64
  6. Step 6: Final answer
    x = 2,149.50

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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.