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Finding the Fourth Proportional to 4,942.98, 7,414.47 and 1,480.23

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Solution

The fourth proportional to 4,942.98, 7,414.47 and 1,480.23 is: 2,220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.98 : 7,414.47 = 1,480.23 : x
  2. Step 2: Convert to fraction form
    4,942.98/7,414.47 = 1,480.23/x
  3. Step 3: Cross multiply
    4,942.98x = 7,414.47 × 1,480.23
  4. Step 4: Simplify right side
    4,942.98x = 10,975,120.93
  5. Step 5: Solve for x
    x = 10,975,120.93/4,942.98
  6. Step 6: Final answer
    x = 2,220.35

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1.5x scale

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.