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Finding the Fourth Proportional to 1,714.15, 2,571.49 and 726.97

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Solution

The fourth proportional to 1,714.15, 2,571.49 and 726.97 is: 1,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.15 : 2,571.49 = 726.97 : x
  2. Step 2: Convert to fraction form
    1,714.15/2,571.49 = 726.97/x
  3. Step 3: Cross multiply
    1,714.15x = 2,571.49 × 726.97
  4. Step 4: Simplify right side
    1,714.15x = 1,869,396.09
  5. Step 5: Solve for x
    x = 1,869,396.09/1,714.15
  6. Step 6: Final answer
    x = 1,090.57

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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.