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Finding the Fourth Proportional to 2,896.75, 3,997.52 and 1,654.75

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Solution

The fourth proportional to 2,896.75, 3,997.52 and 1,654.75 is: 2,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.75 : 3,997.52 = 1,654.75 : x
  2. Step 2: Convert to fraction form
    2,896.75/3,997.52 = 1,654.75/x
  3. Step 3: Cross multiply
    2,896.75x = 3,997.52 × 1,654.75
  4. Step 4: Simplify right side
    2,896.75x = 6,614,887.95
  5. Step 5: Solve for x
    x = 6,614,887.95/2,896.75
  6. Step 6: Final answer
    x = 2,283.56

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Half scale
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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.