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Finding the Fourth Proportional to 1,743.97, 2,406.41 and 997.75

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Solution

The fourth proportional to 1,743.97, 2,406.41 and 997.75 is: 1,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.97 : 2,406.41 = 997.75 : x
  2. Step 2: Convert to fraction form
    1,743.97/2,406.41 = 997.75/x
  3. Step 3: Cross multiply
    1,743.97x = 2,406.41 × 997.75
  4. Step 4: Simplify right side
    1,743.97x = 2,400,995.58
  5. Step 5: Solve for x
    x = 2,400,995.58/1,743.97
  6. Step 6: Final answer
    x = 1,376.74

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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.