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Finding the Fourth Proportional to 1,743.34, 2,405.83 and 997.29

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Solution

The fourth proportional to 1,743.34, 2,405.83 and 997.29 is: 1,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.34 : 2,405.83 = 997.29 : x
  2. Step 2: Convert to fraction form
    1,743.34/2,405.83 = 997.29/x
  3. Step 3: Cross multiply
    1,743.34x = 2,405.83 × 997.29
  4. Step 4: Simplify right side
    1,743.34x = 2,399,310.20
  5. Step 5: Solve for x
    x = 2,399,310.20/1,743.34
  6. Step 6: Final answer
    x = 1,376.27

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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.