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Finding the Fourth Proportional to 1,983.72, 2,737.06 and 1,285

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Solution

The fourth proportional to 1,983.72, 2,737.06 and 1,285 is: 1,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.72 : 2,737.06 = 1,285 : x
  2. Step 2: Convert to fraction form
    1,983.72/2,737.06 = 1,285/x
  3. Step 3: Cross multiply
    1,983.72x = 2,737.06 × 1,285
  4. Step 4: Simplify right side
    1,983.72x = 3,517,122.10
  5. Step 5: Solve for x
    x = 3,517,122.10/1,983.72
  6. Step 6: Final answer
    x = 1,772.99

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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.