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Finding the Fourth Proportional to 2,896.69, 3,997.34 and 1,717.06

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Solution

The fourth proportional to 2,896.69, 3,997.34 and 1,717.06 is: 2,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.69 : 3,997.34 = 1,717.06 : x
  2. Step 2: Convert to fraction form
    2,896.69/3,997.34 = 1,717.06/x
  3. Step 3: Cross multiply
    2,896.69x = 3,997.34 × 1,717.06
  4. Step 4: Simplify right side
    2,896.69x = 6,863,664.04
  5. Step 5: Solve for x
    x = 6,863,664.04/2,896.69
  6. Step 6: Final answer
    x = 2,369.49

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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.