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Finding the Fourth Proportional to 1,736.73, 2,607.98 and 1,723.29

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Solution

The fourth proportional to 1,736.73, 2,607.98 and 1,723.29 is: 2,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.73 : 2,607.98 = 1,723.29 : x
  2. Step 2: Convert to fraction form
    1,736.73/2,607.98 = 1,723.29/x
  3. Step 3: Cross multiply
    1,736.73x = 2,607.98 × 1,723.29
  4. Step 4: Simplify right side
    1,736.73x = 4,494,297.24
  5. Step 5: Solve for x
    x = 4,494,297.24/1,736.73
  6. Step 6: Final answer
    x = 2,587.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.