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Finding the Fourth Proportional to 2,129.22, 3,193.82 and 1,161.47

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Solution

The fourth proportional to 2,129.22, 3,193.82 and 1,161.47 is: 1,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.22 : 3,193.82 = 1,161.47 : x
  2. Step 2: Convert to fraction form
    2,129.22/3,193.82 = 1,161.47/x
  3. Step 3: Cross multiply
    2,129.22x = 3,193.82 × 1,161.47
  4. Step 4: Simplify right side
    2,129.22x = 3,709,526.12
  5. Step 5: Solve for x
    x = 3,709,526.12/2,129.22
  6. Step 6: Final answer
    x = 1,742.20

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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.