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Finding the Fourth Proportional to 2,737.29, 4,105.89 and 685.29

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Solution

The fourth proportional to 2,737.29, 4,105.89 and 685.29 is: 1,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.29 : 4,105.89 = 685.29 : x
  2. Step 2: Convert to fraction form
    2,737.29/4,105.89 = 685.29/x
  3. Step 3: Cross multiply
    2,737.29x = 4,105.89 × 685.29
  4. Step 4: Simplify right side
    2,737.29x = 2,813,725.36
  5. Step 5: Solve for x
    x = 2,813,725.36/2,737.29
  6. Step 6: Final answer
    x = 1,027.92

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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.