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Finding the Fourth Proportional to 1,351, 2,026.26 and 377.20

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Solution

The fourth proportional to 1,351, 2,026.26 and 377.20 is: 565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351 : 2,026.26 = 377.20 : x
  2. Step 2: Convert to fraction form
    1,351/2,026.26 = 377.20/x
  3. Step 3: Cross multiply
    1,351x = 2,026.26 × 377.20
  4. Step 4: Simplify right side
    1,351x = 764,305.27
  5. Step 5: Solve for x
    x = 764,305.27/1,351
  6. Step 6: Final answer
    x = 565.73

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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.