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Finding the Fourth Proportional to 2,723.50, 4,085.26 and 671.50

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Solution

The fourth proportional to 2,723.50, 4,085.26 and 671.50 is: 1,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.50 : 4,085.26 = 671.50 : x
  2. Step 2: Convert to fraction form
    2,723.50/4,085.26 = 671.50/x
  3. Step 3: Cross multiply
    2,723.50x = 4,085.26 × 671.50
  4. Step 4: Simplify right side
    2,723.50x = 2,743,252.09
  5. Step 5: Solve for x
    x = 2,743,252.09/2,723.50
  6. Step 6: Final answer
    x = 1,007.25

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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.