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Finding the Fourth Proportional to 1,714.82, 2,573.11 and 728.31

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Solution

The fourth proportional to 1,714.82, 2,573.11 and 728.31 is: 1,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.82 : 2,573.11 = 728.31 : x
  2. Step 2: Convert to fraction form
    1,714.82/2,573.11 = 728.31/x
  3. Step 3: Cross multiply
    1,714.82x = 2,573.11 × 728.31
  4. Step 4: Simplify right side
    1,714.82x = 1,874,021.74
  5. Step 5: Solve for x
    x = 1,874,021.74/1,714.82
  6. Step 6: Final answer
    x = 1,092.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.