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Finding the Fourth Proportional to 1,743.75, 2,405.97 and 997.47

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Solution

The fourth proportional to 1,743.75, 2,405.97 and 997.47 is: 1,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.75 : 2,405.97 = 997.47 : x
  2. Step 2: Convert to fraction form
    1,743.75/2,405.97 = 997.47/x
  3. Step 3: Cross multiply
    1,743.75x = 2,405.97 × 997.47
  4. Step 4: Simplify right side
    1,743.75x = 2,399,882.90
  5. Step 5: Solve for x
    x = 2,399,882.90/1,743.75
  6. Step 6: Final answer
    x = 1,376.28

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1.5x scale

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.