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Finding the Fourth Proportional to 1,380, 2,057.82 and 1,279.56

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Solution

The fourth proportional to 1,380, 2,057.82 and 1,279.56 is: 1,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380 : 2,057.82 = 1,279.56 : x
  2. Step 2: Convert to fraction form
    1,380/2,057.82 = 1,279.56/x
  3. Step 3: Cross multiply
    1,380x = 2,057.82 × 1,279.56
  4. Step 4: Simplify right side
    1,380x = 2,633,104.16
  5. Step 5: Solve for x
    x = 2,633,104.16/1,380
  6. Step 6: Final answer
    x = 1,908.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.