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Finding the Fourth Proportional to 2,997.72, 4,496.97 and 1,124.22

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Solution

The fourth proportional to 2,997.72, 4,496.97 and 1,124.22 is: 1,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.72 : 4,496.97 = 1,124.22 : x
  2. Step 2: Convert to fraction form
    2,997.72/4,496.97 = 1,124.22/x
  3. Step 3: Cross multiply
    2,997.72x = 4,496.97 × 1,124.22
  4. Step 4: Simplify right side
    2,997.72x = 5,055,583.61
  5. Step 5: Solve for x
    x = 5,055,583.61/2,997.72
  6. Step 6: Final answer
    x = 1,686.48

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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.