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Finding the Fourth Proportional to 3,249.48, 4,874.22 and 940.98

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Solution

The fourth proportional to 3,249.48, 4,874.22 and 940.98 is: 1,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.48 : 4,874.22 = 940.98 : x
  2. Step 2: Convert to fraction form
    3,249.48/4,874.22 = 940.98/x
  3. Step 3: Cross multiply
    3,249.48x = 4,874.22 × 940.98
  4. Step 4: Simplify right side
    3,249.48x = 4,586,543.54
  5. Step 5: Solve for x
    x = 4,586,543.54/3,249.48
  6. Step 6: Final answer
    x = 1,411.47

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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.