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Finding the Fourth Proportional to 1,380.54, 2,073.51 and 1,329.78

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Solution

The fourth proportional to 1,380.54, 2,073.51 and 1,329.78 is: 1,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.54 : 2,073.51 = 1,329.78 : x
  2. Step 2: Convert to fraction form
    1,380.54/2,073.51 = 1,329.78/x
  3. Step 3: Cross multiply
    1,380.54x = 2,073.51 × 1,329.78
  4. Step 4: Simplify right side
    1,380.54x = 2,757,312.13
  5. Step 5: Solve for x
    x = 2,757,312.13/1,380.54
  6. Step 6: Final answer
    x = 1,997.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.