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Finding the Fourth Proportional to 1,983.36, 2,737.42 and 1,144.61

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Solution

The fourth proportional to 1,983.36, 2,737.42 and 1,144.61 is: 1,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.36 : 2,737.42 = 1,144.61 : x
  2. Step 2: Convert to fraction form
    1,983.36/2,737.42 = 1,144.61/x
  3. Step 3: Cross multiply
    1,983.36x = 2,737.42 × 1,144.61
  4. Step 4: Simplify right side
    1,983.36x = 3,133,264.62
  5. Step 5: Solve for x
    x = 3,133,264.62/1,983.36
  6. Step 6: Final answer
    x = 1,579.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.