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Finding the Fourth Proportional to 2,896.39, 3,997 and 1,570.09

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Solution

The fourth proportional to 2,896.39, 3,997 and 1,570.09 is: 2,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.39 : 3,997 = 1,570.09 : x
  2. Step 2: Convert to fraction form
    2,896.39/3,997 = 1,570.09/x
  3. Step 3: Cross multiply
    2,896.39x = 3,997 × 1,570.09
  4. Step 4: Simplify right side
    2,896.39x = 6,275,649.73
  5. Step 5: Solve for x
    x = 6,275,649.73/2,896.39
  6. Step 6: Final answer
    x = 2,166.71

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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.