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Finding the Fourth Proportional to 2,896.25, 3,996.83 and 1,654.25

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Solution

The fourth proportional to 2,896.25, 3,996.83 and 1,654.25 is: 2,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.25 : 3,996.83 = 1,654.25 : x
  2. Step 2: Convert to fraction form
    2,896.25/3,996.83 = 1,654.25/x
  3. Step 3: Cross multiply
    2,896.25x = 3,996.83 × 1,654.25
  4. Step 4: Simplify right side
    2,896.25x = 6,611,747.76
  5. Step 5: Solve for x
    x = 6,611,747.76/2,896.25
  6. Step 6: Final answer
    x = 2,282.87

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.