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Finding the Fourth Proportional to 4,942.75, 7,414.13 and 1,480

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Solution

The fourth proportional to 4,942.75, 7,414.13 and 1,480 is: 2,220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.75 : 7,414.13 = 1,480 : x
  2. Step 2: Convert to fraction form
    4,942.75/7,414.13 = 1,480/x
  3. Step 3: Cross multiply
    4,942.75x = 7,414.13 × 1,480
  4. Step 4: Simplify right side
    4,942.75x = 10,972,912.40
  5. Step 5: Solve for x
    x = 10,972,912.40/4,942.75
  6. Step 6: Final answer
    x = 2,220.00

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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.