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Finding the Fourth Proportional to 2,723.75, 3,756.74 and 1,729.32

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Solution

The fourth proportional to 2,723.75, 3,756.74 and 1,729.32 is: 2,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.75 : 3,756.74 = 1,729.32 : x
  2. Step 2: Convert to fraction form
    2,723.75/3,756.74 = 1,729.32/x
  3. Step 3: Cross multiply
    2,723.75x = 3,756.74 × 1,729.32
  4. Step 4: Simplify right side
    2,723.75x = 6,496,605.62
  5. Step 5: Solve for x
    x = 6,496,605.62/2,723.75
  6. Step 6: Final answer
    x = 2,385.17

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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.