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Finding the Fourth Proportional to 2,474.50, 3,414.76 and 1,480

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Solution

The fourth proportional to 2,474.50, 3,414.76 and 1,480 is: 2,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.50 : 3,414.76 = 1,480 : x
  2. Step 2: Convert to fraction form
    2,474.50/3,414.76 = 1,480/x
  3. Step 3: Cross multiply
    2,474.50x = 3,414.76 × 1,480
  4. Step 4: Simplify right side
    2,474.50x = 5,053,844.80
  5. Step 5: Solve for x
    x = 5,053,844.80/2,474.50
  6. Step 6: Final answer
    x = 2,042.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.