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Finding the Fourth Proportional to 2,674.09, 3,690.26 and 1,792

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Solution

The fourth proportional to 2,674.09, 3,690.26 and 1,792 is: 2,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.09 : 3,690.26 = 1,792 : x
  2. Step 2: Convert to fraction form
    2,674.09/3,690.26 = 1,792/x
  3. Step 3: Cross multiply
    2,674.09x = 3,690.26 × 1,792
  4. Step 4: Simplify right side
    2,674.09x = 6,612,945.92
  5. Step 5: Solve for x
    x = 6,612,945.92/2,674.09
  6. Step 6: Final answer
    x = 2,472.97

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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.