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Finding the Fourth Proportional to 2,896.98, 3,997.84 and 1,701.66

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Solution

The fourth proportional to 2,896.98, 3,997.84 and 1,701.66 is: 2,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.98 : 3,997.84 = 1,701.66 : x
  2. Step 2: Convert to fraction form
    2,896.98/3,997.84 = 1,701.66/x
  3. Step 3: Cross multiply
    2,896.98x = 3,997.84 × 1,701.66
  4. Step 4: Simplify right side
    2,896.98x = 6,802,964.41
  5. Step 5: Solve for x
    x = 6,802,964.41/2,896.98
  6. Step 6: Final answer
    x = 2,348.30

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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.