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Finding the Fourth Proportional to 1,414.73, 2,122.10 and 388.73

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Solution

The fourth proportional to 1,414.73, 2,122.10 and 388.73 is: 583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.73 : 2,122.10 = 388.73 : x
  2. Step 2: Convert to fraction form
    1,414.73/2,122.10 = 388.73/x
  3. Step 3: Cross multiply
    1,414.73x = 2,122.10 × 388.73
  4. Step 4: Simplify right side
    1,414.73x = 824,921.99
  5. Step 5: Solve for x
    x = 824,921.99/1,414.73
  6. Step 6: Final answer
    x = 583.10

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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.