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Finding the Fourth Proportional to 1,372.06, 2,057.84 and 371.42

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Solution

The fourth proportional to 1,372.06, 2,057.84 and 371.42 is: 557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.06 : 2,057.84 = 371.42 : x
  2. Step 2: Convert to fraction form
    1,372.06/2,057.84 = 371.42/x
  3. Step 3: Cross multiply
    1,372.06x = 2,057.84 × 371.42
  4. Step 4: Simplify right side
    1,372.06x = 764,326.22
  5. Step 5: Solve for x
    x = 764,326.22/1,372.06
  6. Step 6: Final answer
    x = 557.07

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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.