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Finding the Fourth Proportional to 1,646.73, 2,469.69 and 551.61

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Solution

The fourth proportional to 1,646.73, 2,469.69 and 551.61 is: 827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.73 : 2,469.69 = 551.61 : x
  2. Step 2: Convert to fraction form
    1,646.73/2,469.69 = 551.61/x
  3. Step 3: Cross multiply
    1,646.73x = 2,469.69 × 551.61
  4. Step 4: Simplify right side
    1,646.73x = 1,362,305.70
  5. Step 5: Solve for x
    x = 1,362,305.70/1,646.73
  6. Step 6: Final answer
    x = 827.28

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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.