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Finding the Fourth Proportional to 1,743.92, 2,405.91 and 997.73

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Solution

The fourth proportional to 1,743.92, 2,405.91 and 997.73 is: 1,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.92 : 2,405.91 = 997.73 : x
  2. Step 2: Convert to fraction form
    1,743.92/2,405.91 = 997.73/x
  3. Step 3: Cross multiply
    1,743.92x = 2,405.91 × 997.73
  4. Step 4: Simplify right side
    1,743.92x = 2,400,460.14
  5. Step 5: Solve for x
    x = 2,400,460.14/1,743.92
  6. Step 6: Final answer
    x = 1,376.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.