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Finding the Fourth Proportional to 1,726.74, 2,591.82 and 1,720.26

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Solution

The fourth proportional to 1,726.74, 2,591.82 and 1,720.26 is: 2,582.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.74 : 2,591.82 = 1,720.26 : x
  2. Step 2: Convert to fraction form
    1,726.74/2,591.82 = 1,720.26/x
  3. Step 3: Cross multiply
    1,726.74x = 2,591.82 × 1,720.26
  4. Step 4: Simplify right side
    1,726.74x = 4,458,604.27
  5. Step 5: Solve for x
    x = 4,458,604.27/1,726.74
  6. Step 6: Final answer
    x = 2,582.09

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