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Finding the Fourth Proportional to 1,983.37, 2,737.01 and 1,144

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Solution

The fourth proportional to 1,983.37, 2,737.01 and 1,144 is: 1,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.37 : 2,737.01 = 1,144 : x
  2. Step 2: Convert to fraction form
    1,983.37/2,737.01 = 1,144/x
  3. Step 3: Cross multiply
    1,983.37x = 2,737.01 × 1,144
  4. Step 4: Simplify right side
    1,983.37x = 3,131,139.44
  5. Step 5: Solve for x
    x = 3,131,139.44/1,983.37
  6. Step 6: Final answer
    x = 1,578.70

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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.