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Finding the Fourth Proportional to 1,723.17, 2,377.96 and 937.23

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Solution

The fourth proportional to 1,723.17, 2,377.96 and 937.23 is: 1,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.17 : 2,377.96 = 937.23 : x
  2. Step 2: Convert to fraction form
    1,723.17/2,377.96 = 937.23/x
  3. Step 3: Cross multiply
    1,723.17x = 2,377.96 × 937.23
  4. Step 4: Simplify right side
    1,723.17x = 2,228,695.45
  5. Step 5: Solve for x
    x = 2,228,695.45/1,723.17
  6. Step 6: Final answer
    x = 1,293.37

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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.