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Finding the Fourth Proportional to 4,942.87, 7,414.33 and 1,480.15

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Solution

The fourth proportional to 4,942.87, 7,414.33 and 1,480.15 is: 2,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.87 : 7,414.33 = 1,480.15 : x
  2. Step 2: Convert to fraction form
    4,942.87/7,414.33 = 1,480.15/x
  3. Step 3: Cross multiply
    4,942.87x = 7,414.33 × 1,480.15
  4. Step 4: Simplify right side
    4,942.87x = 10,974,303.86
  5. Step 5: Solve for x
    x = 10,974,303.86/4,942.87
  6. Step 6: Final answer
    x = 2,220.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.