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Finding the Fourth Proportional to 2,517.81, 3,474.48 and 1,680.03

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Solution

The fourth proportional to 2,517.81, 3,474.48 and 1,680.03 is: 2,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.81 : 3,474.48 = 1,680.03 : x
  2. Step 2: Convert to fraction form
    2,517.81/3,474.48 = 1,680.03/x
  3. Step 3: Cross multiply
    2,517.81x = 3,474.48 × 1,680.03
  4. Step 4: Simplify right side
    2,517.81x = 5,837,230.63
  5. Step 5: Solve for x
    x = 5,837,230.63/2,517.81
  6. Step 6: Final answer
    x = 2,318.38

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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.