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Finding the Fourth Proportional to 1,743.16, 2,405.73 and 996.97

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Solution

The fourth proportional to 1,743.16, 2,405.73 and 996.97 is: 1,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.16 : 2,405.73 = 996.97 : x
  2. Step 2: Convert to fraction form
    1,743.16/2,405.73 = 996.97/x
  3. Step 3: Cross multiply
    1,743.16x = 2,405.73 × 996.97
  4. Step 4: Simplify right side
    1,743.16x = 2,398,438.66
  5. Step 5: Solve for x
    x = 2,398,438.66/1,743.16
  6. Step 6: Final answer
    x = 1,375.92

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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.