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Finding the Fourth Proportional to 2,137.89, 3,203.19 and 1,727.22

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Solution

The fourth proportional to 2,137.89, 3,203.19 and 1,727.22 is: 2,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.89 : 3,203.19 = 1,727.22 : x
  2. Step 2: Convert to fraction form
    2,137.89/3,203.19 = 1,727.22/x
  3. Step 3: Cross multiply
    2,137.89x = 3,203.19 × 1,727.22
  4. Step 4: Simplify right side
    2,137.89x = 5,532,613.83
  5. Step 5: Solve for x
    x = 5,532,613.83/2,137.89
  6. Step 6: Final answer
    x = 2,587.89

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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.