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Finding the Fourth Proportional to 2,135.57, 3,204.38 and 1,161.67

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Solution

The fourth proportional to 2,135.57, 3,204.38 and 1,161.67 is: 1,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.57 : 3,204.38 = 1,161.67 : x
  2. Step 2: Convert to fraction form
    2,135.57/3,204.38 = 1,161.67/x
  3. Step 3: Cross multiply
    2,135.57x = 3,204.38 × 1,161.67
  4. Step 4: Simplify right side
    2,135.57x = 3,722,421.30
  5. Step 5: Solve for x
    x = 3,722,421.30/2,135.57
  6. Step 6: Final answer
    x = 1,743.06

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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.