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Finding the Fourth Proportional to 2,168.02, 3,249.43 and 1,127.44

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Solution

The fourth proportional to 2,168.02, 3,249.43 and 1,127.44 is: 1,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.02 : 3,249.43 = 1,127.44 : x
  2. Step 2: Convert to fraction form
    2,168.02/3,249.43 = 1,127.44/x
  3. Step 3: Cross multiply
    2,168.02x = 3,249.43 × 1,127.44
  4. Step 4: Simplify right side
    2,168.02x = 3,663,526.67
  5. Step 5: Solve for x
    x = 3,663,526.67/2,168.02
  6. Step 6: Final answer
    x = 1,689.81

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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.