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Finding the Fourth Proportional to 2,942.48, 4,414.01 and 751.23

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Solution

The fourth proportional to 2,942.48, 4,414.01 and 751.23 is: 1,126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.48 : 4,414.01 = 751.23 : x
  2. Step 2: Convert to fraction form
    2,942.48/4,414.01 = 751.23/x
  3. Step 3: Cross multiply
    2,942.48x = 4,414.01 × 751.23
  4. Step 4: Simplify right side
    2,942.48x = 3,315,936.73
  5. Step 5: Solve for x
    x = 3,315,936.73/2,942.48
  6. Step 6: Final answer
    x = 1,126.92

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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.