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Finding the Fourth Proportional to 1,727.22, 2,589.21 and 860.58

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Solution

The fourth proportional to 1,727.22, 2,589.21 and 860.58 is: 1,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.22 : 2,589.21 = 860.58 : x
  2. Step 2: Convert to fraction form
    1,727.22/2,589.21 = 860.58/x
  3. Step 3: Cross multiply
    1,727.22x = 2,589.21 × 860.58
  4. Step 4: Simplify right side
    1,727.22x = 2,228,222.34
  5. Step 5: Solve for x
    x = 2,228,222.34/1,727.22
  6. Step 6: Final answer
    x = 1,290.06

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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.