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Finding the Fourth Proportional to 1,712.43, 2,363.22 and 1,082.73

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Solution

The fourth proportional to 1,712.43, 2,363.22 and 1,082.73 is: 1,494.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.43 : 2,363.22 = 1,082.73 : x
  2. Step 2: Convert to fraction form
    1,712.43/2,363.22 = 1,082.73/x
  3. Step 3: Cross multiply
    1,712.43x = 2,363.22 × 1,082.73
  4. Step 4: Simplify right side
    1,712.43x = 2,558,714.67
  5. Step 5: Solve for x
    x = 2,558,714.67/1,712.43
  6. Step 6: Final answer
    x = 1,494.21

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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.